{
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   "source": [
    "# Facility Location Problem (P-median)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ab3247e-1452-47d8-9fae-dbc8894c4df5",
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   "source": [
    "We consider the following optimization problem: we have a set of $M$ customers and a set of $N$ potential locations for opening a facility. Given transportation costs between facilities and customers and how many facilities we would like to open ($P$), we need to determine which facilities to open such that the total transportation cost between facilities and customers is minimal, under the constraint that each customer is allocated to only one facility.\n",
    "\n",
    "### Possible extensions:\n",
    "\n",
    "$\\bullet$ Add different demand for each customer.\n",
    "\n",
    "$\\bullet$ Add cost for opening a facility at each location.\n",
    "\n",
    "$\\bullet$ Different categories of facilities, and customer can have multiple allocations for different facilities."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "966c9605-c442-436f-b01a-a76004bbd9b2",
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   "source": [
    "## Mathematical Modeling\n",
    "\n",
    "The input of the model is a set of $M$ customers $\\{1,\\dots,M\\}$, a set of $N$ potential locations for facilities $\\{1,\\dots,N\\}$, an $N\\times M$ matrix $d$ where $d_{nm}$ is the cost of customer $m$ buying from facility $n$, and the total number of facilities we want to open $P$.\n",
    "\n",
    "We define a binary variable for the optimization problem: an $N\\times M$ matrix $x$ such that $x_{nm}=1$ if customer $m$ is allocated to facility $n$.\n",
    "\n",
    "The objective function to minimize is the total cost function:\n",
    "$$\n",
    "\\min_{x} \\sum_{n,m} d_{nm}x_{nm}\n",
    "$$\n",
    "We have 2 constraints:\n",
    "\n",
    "(1) Each customer is supplied: $\\forall m\\in[0,M] \\,\\,\\, \\sum_n x_{nm}=1$.\n",
    "\n",
    "(2) Total number of opened facilities is $P$: $\\sum_n\\Pi_m (1-x_{nm})=N-P$ (The inner product is zero if the $n-$th facility is not open)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "533588ad-0bf0-4f80-9178-1d9de6fda916",
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   "source": [
    "### Alternative modeling\n",
    "We note that there is an alternative modeling, in which one adds another variable to the model: a binary vector $y$ of size $N$ which indicates which facilities are open. In this formulation the second constraint can be written as $\\sum_n y_n=P$ together with an inequality constraint $\\forall n,m:\\, x_{nm} \\leq y_n$. A model which combines equality and inequality constraints will be available in the future.\n",
    "\n",
    "Note that in this alternative modeling we have a QUBO problem (compared to the formulation above where constraint (2) is polynomial of degree $m$). However, the alternative modelling has more variables to minimize on, and thus refers to more qubits."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3bfe6389-752a-4a31-9190-dfc4cd20fd1a",
   "metadata": {},
   "source": [
    "### An Example\n",
    "\n",
    "Let us say we can open facilities in Japan, USA, and France, and we have 4 customers whose costs for buying from these three locations are given. We would like to open in total $P=2$ facilities. The optimization problem is to find where to open the facilities and which customer is allocated to which facility.\n",
    "\n",
    "We now draw this specific example on a graph. We have $N=3$ locations and $M=4$ customers, where the weights of the edges between them signify the costs:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9b0dd32d",
   "metadata": {},
   "source": [
    "*Suggestions:*\n",
    "- Give general problem description and then givens, or provide givens after each mention.\n",
    "- Standardize writing numbers appearing in sentences out when less than 10. \"4\" vs \"four\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "562161d9-5c43-476f-9b97-e6f83eeb9751",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T14:59:01.683194Z",
     "iopub.status.busy": "2024-05-07T14:59:01.682745Z",
     "iopub.status.idle": "2024-05-07T14:59:03.010895Z",
     "shell.execute_reply": "2024-05-07T14:59:03.010075Z"
    },
    "tags": []
   },
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Import relevant packages\n",
    "\n",
    "from itertools import product\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx  # noqa\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "# Declare givens from problem statement\n",
    "\n",
    "Facilities = [\"Japan\", \"USA\", \"France\"]\n",
    "Customers = [\"A\", \"B\", \"C\", \"D\"]\n",
    "\n",
    "N = len(Facilities)  # potential facility count\n",
    "M = len(Customers)  # customer count\n",
    "P = 2  # allocated facility count\n",
    "\n",
    "# costs of customers using facilities\n",
    "d = np.array(\n",
    "    [[0.02, 0.14, 0.62, 0.11], [0.99, 0.22, 0.91, 0.09], [0.4, 0.76, 0.95, 0.61]]\n",
    ")\n",
    "\n",
    "\n",
    "graph = nx.DiGraph()\n",
    "graph.add_nodes_from(Facilities + Customers)\n",
    "for n, m in product(range(N), range(M)):\n",
    "    graph.add_edges_from([(Facilities[n], Customers[m])], weight=d[n, m])\n",
    "\n",
    "\n",
    "# Plot the graph\n",
    "plt.figure(figsize=(10, 6))\n",
    "left = nx.bipartite.sets(graph)[0]\n",
    "pos = nx.bipartite_layout(graph, left)\n",
    "\n",
    "nx.draw_networkx(graph, pos=pos, nodelist=Customers, font_size=22, font_color=\"None\")\n",
    "nx.draw_networkx_nodes(\n",
    "    graph, pos, nodelist=Customers, node_color=\"#119DA4\", node_size=500\n",
    ")\n",
    "for fa in Facilities:\n",
    "    x, y = pos[fa]\n",
    "    plt.text(\n",
    "        x,\n",
    "        y,\n",
    "        s=fa,\n",
    "        bbox=dict(facecolor=\"#F43764\", alpha=1),\n",
    "        horizontalalignment=\"center\",\n",
    "        fontsize=15,\n",
    "    )\n",
    "\n",
    "nx.draw_networkx_edges(graph, pos, width=2)\n",
    "labels = nx.get_edge_attributes(graph, \"weight\")\n",
    "nx.draw_networkx_edge_labels(graph, pos, edge_labels=labels, font_size=12)\n",
    "nx.draw_networkx_labels(\n",
    "    graph,\n",
    "    pos,\n",
    "    labels={co: co for co in Customers},\n",
    "    font_size=22,\n",
    "    font_color=\"#F4F9E9\",\n",
    ")\n",
    "\n",
    "plt.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66dfdc09-4920-4966-a738-d8a8e7b4dc4e",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Building the Pyomo model from a matrix of distances input"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "dd946990-d0dc-4f29-aa15-949819b8d09f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T14:59:03.016606Z",
     "iopub.status.busy": "2024-05-07T14:59:03.014926Z",
     "iopub.status.idle": "2024-05-07T14:59:03.337482Z",
     "shell.execute_reply": "2024-05-07T14:59:03.336567Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from typing import List, Tuple, cast  # noqa\n",
    "\n",
    "import pyomo.environ as pyo\n",
    "from IPython.display import Markdown, display"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c731afb0-f94b-43b1-9cdb-1de8bb3a1f46",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T14:59:03.342702Z",
     "iopub.status.busy": "2024-05-07T14:59:03.341432Z",
     "iopub.status.idle": "2024-05-07T14:59:03.351534Z",
     "shell.execute_reply": "2024-05-07T14:59:03.350671Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "## We define a function which gets a matrix of costs between customers and potential facilities\n",
    "## and the number of facilities to open.\n",
    "\n",
    "\n",
    "def pmedian(cost_mat: np.ndarray, P: int) -> pyo.ConcreteModel:\n",
    "    model = pyo.ConcreteModel(\"pmedian\")\n",
    "\n",
    "    N = cost_mat.shape[0]  # potential facility amount\n",
    "    M = cost_mat.shape[1]  # customer count\n",
    "    Locations = range(N)\n",
    "    Customers = range(M)\n",
    "\n",
    "    model.x = pyo.Var(Locations, Customers, domain=pyo.Binary)\n",
    "\n",
    "    @model.Constraint(Customers)\n",
    "    def each_customer_is_supplied_rule(model, m):  # constraint (1)\n",
    "        return sum(model.x[n, m] for n in Locations) == 1\n",
    "\n",
    "    def is_location_alocated(n):  # constraint (2)\n",
    "        return np.prod([(1 - model.x[n, m]) for m in Customers])\n",
    "\n",
    "    model.num_facilities = pyo.Constraint(\n",
    "        expr=sum(is_location_alocated(n) for n in Locations) == N - P\n",
    "    )\n",
    "\n",
    "    model.cost = pyo.Objective(\n",
    "        expr=sum(cost_mat[n, m] * model.x[n, m] for n in Locations for m in Customers),\n",
    "        sense=pyo.minimize,\n",
    "    )\n",
    "\n",
    "    return model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "156b2d20-b5cc-4a2c-8b95-fa8fa811783e",
   "metadata": {},
   "source": [
    "## Solving with Classiq"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ad95a642-4ffe-486d-9d9b-e744530a3aed",
   "metadata": {},
   "source": [
    "We take a specific example: the one outlined above"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4ac5a185-7de9-4450-bb08-c6d4a7983b87",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T14:59:03.356820Z",
     "iopub.status.busy": "2024-05-07T14:59:03.355614Z",
     "iopub.status.idle": "2024-05-07T14:59:03.363292Z",
     "shell.execute_reply": "2024-05-07T14:59:03.362617Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "pmedian_model = pmedian(d, P)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "645e7adc-8e9a-4e5d-af9e-bf15ad6271b8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T14:59:03.367984Z",
     "iopub.status.busy": "2024-05-07T14:59:03.366773Z",
     "iopub.status.idle": "2024-05-07T14:59:05.186136Z",
     "shell.execute_reply": "2024-05-07T14:59:05.185491Z"
    },
    "pycharm": {
     "name": "#%%\n"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from classiq import construct_combinatorial_optimization_model\n",
    "from classiq.applications.combinatorial_optimization import OptimizerConfig, QAOAConfig\n",
    "\n",
    "qaoa_config = QAOAConfig(num_layers=5, penalty_energy=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "721834d5-89fd-4859-8765-5205620dae71",
   "metadata": {},
   "source": [
    "For the classical optimization part of the QAOA algorithm (`CombinatorialConfig`) we define the maximum number of classical iterations (`max_iteration`) and the $\\alpha$-parameter (`alpha_cvar`) for running CVaR-QAOA, an improved variation of the QAOA algorithm [[3](#cvar)]:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "85a4d376-7bb0-4f57-bfee-03e3a7fa2335",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T14:59:05.189513Z",
     "iopub.status.busy": "2024-05-07T14:59:05.188678Z",
     "iopub.status.idle": "2024-05-07T14:59:05.192231Z",
     "shell.execute_reply": "2024-05-07T14:59:05.191648Z"
    },
    "pycharm": {
     "name": "#%%\n"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "optimizer_config = OptimizerConfig(\n",
    "    max_iteration=30,\n",
    "    alpha_cvar=1,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "639a861c-8599-499d-abac-6d4d31668e38",
   "metadata": {},
   "source": [
    "Lastly, we define the `CombinatorialOptimization` instance which we can use to solve the problem:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "9a4c197e-86cb-41cc-b51d-d0f6d85c10b9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T14:59:05.194826Z",
     "iopub.status.busy": "2024-05-07T14:59:05.194256Z",
     "iopub.status.idle": "2024-05-07T14:59:07.865403Z",
     "shell.execute_reply": "2024-05-07T14:59:07.861592Z"
    },
    "lines_to_next_cell": 2,
    "pycharm": {
     "name": "#%%\n"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "qmod = construct_combinatorial_optimization_model(\n",
    "    pyo_model=pmedian_model,\n",
    "    qaoa_config=qaoa_config,\n",
    "    optimizer_config=optimizer_config,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dac1fe29-cdc8-486f-84f4-628a7abb7cea",
   "metadata": {},
   "source": [
    "We also set the quantum backend we want to execute on:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "77ed14c8-e3f9-4078-a838-7c679e8c37b1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T14:59:07.869304Z",
     "iopub.status.busy": "2024-05-07T14:59:07.868985Z",
     "iopub.status.idle": "2024-05-07T14:59:08.465240Z",
     "shell.execute_reply": "2024-05-07T14:59:08.464447Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from classiq import set_execution_preferences\n",
    "from classiq.execution import ClassiqBackendPreferences, ExecutionPreferences\n",
    "\n",
    "backend_preferences = ExecutionPreferences(\n",
    "    backend_preferences=ClassiqBackendPreferences(backend_name=\"aer_simulator\")\n",
    ")\n",
    "\n",
    "qmod = set_execution_preferences(qmod, backend_preferences)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "ebf3341e-d1ee-481d-a20d-381fd9203316",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T14:59:08.470470Z",
     "iopub.status.busy": "2024-05-07T14:59:08.469220Z",
     "iopub.status.idle": "2024-05-07T14:59:09.220594Z",
     "shell.execute_reply": "2024-05-07T14:59:09.219971Z"
    }
   },
   "outputs": [],
   "source": [
    "from classiq import write_qmod\n",
    "\n",
    "write_qmod(qmod, \"facility_location\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d36fc4a-5e6c-437e-9e91-fd45474264cb",
   "metadata": {},
   "source": [
    "We define a function that plot solutions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5ad2f559-5797-4d1b-ad4e-132ee629d898",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T14:59:09.223703Z",
     "iopub.status.busy": "2024-05-07T14:59:09.223219Z",
     "iopub.status.idle": "2024-05-07T14:59:09.232233Z",
     "shell.execute_reply": "2024-05-07T14:59:09.231619Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "# This function plots the solution in a table and a graph\n",
    "\n",
    "\n",
    "def plotting_sol(x_sol, cost, is_classic: bool):\n",
    "    x_sol_to_mat = np.reshape(np.array(x_sol), [N, M])  # vector to matrix\n",
    "    # opened facilities will be marked in red\n",
    "    opened_fac_dict = {}\n",
    "    for fa in range(N):\n",
    "        if sum(x_sol_to_mat[fa, m] for m in range(M)) > 0:\n",
    "            opened_fac_dict.update({Facilities[fa]: \"background-color: #F43764\"})\n",
    "\n",
    "    # classical or quantum\n",
    "    if is_classic == True:\n",
    "        display(Markdown(\"**CLASSICAL SOLUTION**\"))\n",
    "        print(\"total cost= \", cost)\n",
    "    else:\n",
    "        display(Markdown(\"**QAOA SOLUTION**\"))\n",
    "        print(\"total cost= \", cost)\n",
    "\n",
    "    # plotting in a table\n",
    "    df = pd.DataFrame(x_sol_to_mat)\n",
    "    df.columns = Customers\n",
    "    df.index = Facilities\n",
    "    plotable = df.style.apply(lambda x: x.index.map(opened_fac_dict))\n",
    "    display(plotable)\n",
    "\n",
    "    # plotting in a graph\n",
    "    graph_sol = nx.DiGraph()\n",
    "    graph_sol.add_nodes_from(Facilities + Customers)\n",
    "    for n, m in product(range(N), range(M)):\n",
    "        if x_sol_to_mat[n, m] > 0:\n",
    "            graph_sol.add_edges_from([(Facilities[n], Customers[m])], weight=d[n, m])\n",
    "\n",
    "    plt.figure(figsize=(10, 6))\n",
    "    left = nx.bipartite.sets(graph_sol, top_nodes=Facilities)[0]\n",
    "    pos = nx.bipartite_layout(graph_sol, left)\n",
    "\n",
    "    nx.draw_networkx(\n",
    "        graph_sol, pos=pos, nodelist=Customers, font_size=22, font_color=\"None\"\n",
    "    )\n",
    "    nx.draw_networkx_nodes(\n",
    "        graph_sol, pos, nodelist=Customers, node_color=\"#119DA4\", node_size=500\n",
    "    )\n",
    "    for fa in Facilities:\n",
    "        x, y = pos[fa]\n",
    "        if fa in opened_fac_dict.keys():\n",
    "            plt.text(\n",
    "                x,\n",
    "                y,\n",
    "                s=fa,\n",
    "                bbox=dict(facecolor=\"#F43764\", alpha=1),\n",
    "                horizontalalignment=\"center\",\n",
    "                fontsize=15,\n",
    "            )\n",
    "        else:\n",
    "            plt.text(\n",
    "                x,\n",
    "                y,\n",
    "                s=fa,\n",
    "                bbox=dict(facecolor=\"#F4F9E9\", alpha=1),\n",
    "                horizontalalignment=\"center\",\n",
    "                fontsize=15,\n",
    "            )\n",
    "\n",
    "    nx.draw_networkx_edges(graph_sol, pos, width=2)\n",
    "    labels = nx.get_edge_attributes(graph_sol, \"weight\")\n",
    "    nx.draw_networkx_edge_labels(graph, pos, edge_labels=labels, font_size=12)\n",
    "    nx.draw_networkx_labels(\n",
    "        graph_sol,\n",
    "        pos,\n",
    "        labels={co: co for co in Customers},\n",
    "        font_size=22,\n",
    "        font_color=\"#F4F9E9\",\n",
    "    )\n",
    "\n",
    "    plt.axis(\"off\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f07f4cf-c464-4127-bac9-5ffa79137693",
   "metadata": {},
   "source": [
    "Now we can create a quantum circuit using the `synthesize` command and show it"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a8cb1946-703d-46ca-ba06-7692cadbac29",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T14:59:09.234400Z",
     "iopub.status.busy": "2024-05-07T14:59:09.234227Z",
     "iopub.status.idle": "2024-05-07T15:00:26.004619Z",
     "shell.execute_reply": "2024-05-07T15:00:26.003288Z"
    },
    "pycharm": {
     "name": "#%%\n"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Opening: https://platform.classiq.io/circuit/d804bf78-fab4-4ab0-b897-5fddca1b51f2?version=0.41.0.dev39%2B79c8fd0855\n"
     ]
    }
   ],
   "source": [
    "from classiq import show, synthesize\n",
    "\n",
    "qprog = synthesize(qmod)\n",
    "show(qprog)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c521b854-3745-4a5c-bd93-c8d893337bf1",
   "metadata": {},
   "source": [
    "We now solve the problem by calling the `execute` function on the quantum program we have generated:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "3ab8659a-aef7-4b30-ac47-d096c83df6b4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:00:26.007953Z",
     "iopub.status.busy": "2024-05-07T15:00:26.007538Z",
     "iopub.status.idle": "2024-05-07T15:03:50.807916Z",
     "shell.execute_reply": "2024-05-07T15:03:50.807204Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from classiq import execute\n",
    "\n",
    "res = execute(qprog).result()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18dd745f-9798-4b7b-8e52-3ea43f339391",
   "metadata": {},
   "source": [
    "We can check the convergence of the run:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4b130728-299f-44b6-b738-09b2c781f173",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:03:50.811515Z",
     "iopub.status.busy": "2024-05-07T15:03:50.811284Z",
     "iopub.status.idle": "2024-05-07T15:03:50.841566Z",
     "shell.execute_reply": "2024-05-07T15:03:50.840652Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<PIL.JpegImagePlugin.JpegImageFile image mode=RGB size=640x480>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from classiq.execution import VQESolverResult\n",
    "\n",
    "vqe_result = res[0].value\n",
    "vqe_result.convergence_graph"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63ee5889-2a3a-4cae-8804-e3afcfc2be00",
   "metadata": {},
   "source": [
    "## Optimizer statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "02e7222d-0bbc-446f-a92a-ac1637f69830",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:03:50.845594Z",
     "iopub.status.busy": "2024-05-07T15:03:50.845156Z",
     "iopub.status.idle": "2024-05-07T15:03:52.950325Z",
     "shell.execute_reply": "2024-05-07T15:03:52.949731Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>probability</th>\n",
       "      <th>cost</th>\n",
       "      <th>solution</th>\n",
       "      <th>count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>535</th>\n",
       "      <td>0.001</td>\n",
       "      <td>0.95</td>\n",
       "      <td>[1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0]</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>504</th>\n",
       "      <td>0.001</td>\n",
       "      <td>0.97</td>\n",
       "      <td>[1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0]</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>257</th>\n",
       "      <td>0.001</td>\n",
       "      <td>1.27</td>\n",
       "      <td>[0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0]</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>536</th>\n",
       "      <td>0.001</td>\n",
       "      <td>1.39</td>\n",
       "      <td>[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>0.004</td>\n",
       "      <td>1.51</td>\n",
       "      <td>[1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0]</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     probability  cost                              solution  count\n",
       "535        0.001  0.95  [1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0]      1\n",
       "504        0.001  0.97  [1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0]      1\n",
       "257        0.001  1.27  [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0]      1\n",
       "536        0.001  1.39  [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]      1\n",
       "35         0.004  1.51  [1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0]      4"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "from classiq.applications.combinatorial_optimization import (\n",
    "    get_optimization_solution_from_pyo,\n",
    ")\n",
    "\n",
    "solution = get_optimization_solution_from_pyo(\n",
    "    pmedian_model, vqe_result=vqe_result, penalty_energy=qaoa_config.penalty_energy\n",
    ")\n",
    "optimization_result = pd.DataFrame.from_records(solution)\n",
    "optimization_result.sort_values(by=\"cost\", ascending=True).head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "02a0a251-71cf-4b0d-b248-289b78d744e6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:03:52.954449Z",
     "iopub.status.busy": "2024-05-07T15:03:52.953374Z",
     "iopub.status.idle": "2024-05-07T15:03:53.153622Z",
     "shell.execute_reply": "2024-05-07T15:03:53.152880Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<Axes: title={'center': 'cost'}>]], dtype=object)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "optimization_result.hist(\"cost\", weights=optimization_result[\"probability\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "500bdeb1-4f07-411f-888f-61d61ff2a432",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Best solution"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "68bcb057-0e49-4861-8b2a-6c54bd926eda",
   "metadata": {},
   "source": [
    "We plot the quantum result only if we get the right solution (to avoid problems with printing table and graph)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "da11d871-4f3d-4de2-827f-a3ac9f6f0277",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:03:53.156311Z",
     "iopub.status.busy": "2024-05-07T15:03:53.155904Z",
     "iopub.status.idle": "2024-05-07T15:03:53.408464Z",
     "shell.execute_reply": "2024-05-07T15:03:53.407853Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "**QAOA SOLUTION**"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total cost=  0.9499999999999922\n"
     ]
    },
    {
     "data": {
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       "</table>\n"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x7ff2c746e6d0>"
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     },
     "metadata": {},
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    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "best_solution = optimization_result.loc[optimization_result.cost.idxmin()]\n",
    "\n",
    "plotting_sol(best_solution.solution, best_solution.cost, is_classic=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8118b194-6180-4481-835a-20abfb231bd2",
   "metadata": {},
   "source": [
    "### Compare to a classical solver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "cae4f9c8-8898-4088-a68a-8f05142fdead",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:03:53.412786Z",
     "iopub.status.busy": "2024-05-07T15:03:53.411547Z",
     "iopub.status.idle": "2024-05-07T15:03:53.488006Z",
     "shell.execute_reply": "2024-05-07T15:03:53.487386Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model pmedian\n",
      "\n",
      "  Variables:\n",
      "    x : Size=12, Index=x_index\n",
      "        Key    : Lower : Value                  : Upper : Fixed : Stale : Domain\n",
      "        (0, 0) :     0 :                    1.0 :     1 : False : False : Binary\n",
      "        (0, 1) :     0 :                    1.0 :     1 : False : False : Binary\n",
      "        (0, 2) :     0 :                    1.0 :     1 : False : False : Binary\n",
      "        (0, 3) :     0 :                    0.0 :     1 : False : False : Binary\n",
      "        (1, 0) :     0 :                    0.0 :     1 : False : False : Binary\n",
      "        (1, 1) :     0 :  6.846989283059948e-10 :     1 : False : False : Binary\n",
      "        (1, 2) :     0 :                    0.0 :     1 : False : False : Binary\n",
      "        (1, 3) :     0 :                    1.0 :     1 : False : False : Binary\n",
      "        (2, 0) :     0 :                    0.0 :     1 : False : False : Binary\n",
      "        (2, 1) :     0 : -6.846989283059948e-10 :     1 : False : False : Binary\n",
      "        (2, 2) :     0 :                    0.0 :     1 : False : False : Binary\n",
      "        (2, 3) :     0 :                    0.0 :     1 : False : False : Binary\n",
      "\n",
      "  Objectives:\n",
      "    cost : Size=1, Index=None, Active=True\n",
      "        Key  : Active : Value\n",
      "        None :   True : 0.8699999996302625\n",
      "\n",
      "  Constraints:\n",
      "    each_customer_is_supplied_rule : Size=4\n",
      "        Key : Lower : Body : Upper\n",
      "          0 :   1.0 :  1.0 :   1.0\n",
      "          1 :   1.0 :  1.0 :   1.0\n",
      "          2 :   1.0 :  1.0 :   1.0\n",
      "          3 :   1.0 :  1.0 :   1.0\n",
      "    num_facilities : Size=1\n",
      "        Key  : Lower : Body              : Upper\n",
      "        None :   1.0 : 1.000000000684699 :   1.0\n"
     ]
    }
   ],
   "source": [
    "from pyomo.opt import SolverFactory\n",
    "\n",
    "solver = SolverFactory(\"couenne\")\n",
    "solver.solve(pmedian_model)\n",
    "\n",
    "pmedian_model.display()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "8208fe7b-4033-4f96-830d-f81b113ff624",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:03:53.491461Z",
     "iopub.status.busy": "2024-05-07T15:03:53.490937Z",
     "iopub.status.idle": "2024-05-07T15:03:53.683579Z",
     "shell.execute_reply": "2024-05-07T15:03:53.682859Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "**CLASSICAL SOLUTION**"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total cost=  0.8699999996302625\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<style type=\"text/css\">\n",
       "#T_9c4ac_row0_col0, #T_9c4ac_row0_col1, #T_9c4ac_row0_col2, #T_9c4ac_row0_col3, #T_9c4ac_row1_col0, #T_9c4ac_row1_col1, #T_9c4ac_row1_col2, #T_9c4ac_row1_col3 {\n",
       "  background-color: #F43764;\n",
       "}\n",
       "</style>\n",
       "<table id=\"T_9c4ac\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th class=\"blank level0\" >&nbsp;</th>\n",
       "      <th id=\"T_9c4ac_level0_col0\" class=\"col_heading level0 col0\" >A</th>\n",
       "      <th id=\"T_9c4ac_level0_col1\" class=\"col_heading level0 col1\" >B</th>\n",
       "      <th id=\"T_9c4ac_level0_col2\" class=\"col_heading level0 col2\" >C</th>\n",
       "      <th id=\"T_9c4ac_level0_col3\" class=\"col_heading level0 col3\" >D</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th id=\"T_9c4ac_level0_row0\" class=\"row_heading level0 row0\" >Japan</th>\n",
       "      <td id=\"T_9c4ac_row0_col0\" class=\"data row0 col0\" >1.000000</td>\n",
       "      <td id=\"T_9c4ac_row0_col1\" class=\"data row0 col1\" >1.000000</td>\n",
       "      <td id=\"T_9c4ac_row0_col2\" class=\"data row0 col2\" >1.000000</td>\n",
       "      <td id=\"T_9c4ac_row0_col3\" class=\"data row0 col3\" >0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th id=\"T_9c4ac_level0_row1\" class=\"row_heading level0 row1\" >USA</th>\n",
       "      <td id=\"T_9c4ac_row1_col0\" class=\"data row1 col0\" >0.000000</td>\n",
       "      <td id=\"T_9c4ac_row1_col1\" class=\"data row1 col1\" >0.000000</td>\n",
       "      <td id=\"T_9c4ac_row1_col2\" class=\"data row1 col2\" >0.000000</td>\n",
       "      <td id=\"T_9c4ac_row1_col3\" class=\"data row1 col3\" >1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th id=\"T_9c4ac_level0_row2\" class=\"row_heading level0 row2\" >France</th>\n",
       "      <td id=\"T_9c4ac_row2_col0\" class=\"data row2 col0\" >0.000000</td>\n",
       "      <td id=\"T_9c4ac_row2_col1\" class=\"data row2 col1\" >-0.000000</td>\n",
       "      <td id=\"T_9c4ac_row2_col2\" class=\"data row2 col2\" >0.000000</td>\n",
       "      <td id=\"T_9c4ac_row2_col3\" class=\"data row2 col3\" >0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x7ff2c7566650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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81Cag1p6/vquXQYOIiIiIGhelUolDhw6JLVEpKSl659nb2yMoKAjBwcEYNWoUnJyc7uv5ExISMGvWLGzfvl0ck0gk6NChA/7++29x7LnnnsPXX38t/roibEgl0GmjelgVz2PqIQNg0CAiIiKiWpKWlobY2FhERUVhz549UCr1L5xu2bIlxo0bh6CgIPTp0wdy+f1395eVlWHlypVYsmQJysrKxPEePXpgy5YtaN68Odq1a4fk5GQMGDAAhw4dgvSuReAHklMx7fBxZCqV0D7CW2OpRAI3S0tsHNgHQ70VD/08jQWDBhEREREZhCAIOHfunNgSdfbsWb3z5HI5Bg4ciNDQUAQGBsLf3/+hrrdz505MmzYNt27dEsecnZ3x0Ucf4bnnnhMDRUJCAg4ePIgJEybAtprdnwrKy7Hw5Bl8GxcPqUQCzQO8RZZJJNAKAp4N8MeSnt1Mdk3G3Rg0iIiIiOihlZSU4MCBA4iKikJkZCQyMjL0znNychLXWowYMQL29vYPfc0bN25g5syZiI2NFcekUimmT5+OxYsXw9HR8aGfO7GoCF9duY7Pr1xDXnk5AEAukUBd6S1z5V87mpvjxdYtMbF1C5PcwrYmDBpERERE9ECSkpIQGxuLyMhI7N+/H+X/vCG/W9u2bcWWqB49ekAmkz3SdUtLS7FixQosW7YMKpVKHO/Xrx82bdqEjh07PtLzV6bSanEpJw/nsnPwV1Y2MkqVUGo0sJTJ4G5liU6uLujs4oy2zo4md+L3/WLQICIiIqIaabVanD59WmyJunDhgt55ZmZmGDZsGEJCQhAYGGiwHTAFQUBUVBSmT5+OpKQkcdzNzQ1r1qzBU089BYnkXmd9U12rd+doEBEREZHxFRYWYt++fYiKikJUVBRycnL0znNzc0NoaCiCg4MxbNgw2NjYGLSOa9euYfr06dizZ484JpPJ8Morr+Dtt99+pBYsql0MGkREREQEALh16xaio6MRFRWFQ4cOQa1W653XuXNnhIWFISgoCF26dKmyi5MhFBcX47333sOHH36oU8egQYOwadMmtG3b1uDXJMNi0CAiIiIyURqNBidOnBBboq5evap3nqWlJUaMGIGQkBCMHTsWXl5etVaTIAjYtm0bZs6cidTUVHHc09MT69atw2OPPcY2qQaCQYOIiIjIhOTn52P37t2IiopCTEwM8vPz9c5TKBQICwtDcHAwBg8eDCsrq1qv7fLly5g2bRoOHjwojsnlcsyZMwfz58+vdmtaqp8YNIiIiIgauWvXriEmJgY7duzA0aNHodFoqsyRSCTo3r272BLVoUOHOrtzUFhYiHfffRerV6/WqW348OHYuHEjAgJM+4TthopBg4iIiKiRUalUOHr0KGJiYvDLL7/g5s2beudZW1tjzJgxCA4OxpgxY+Du7l6ndQqCgB9//BGzZs3SOX/D29sbGzZsQGhoKNukGjAGDSIiIqJGIDs7G7/++iuioqKwc+dOFBUV6Z3n6+uL8ePHIygoCAMHDoS5uXkdV3rHhQsXMHXqVBw5ckQcMzMzw1tvvYW5c+fC2traKHWR4TBoEBERETVAgiDg8uXLYkvUiRMnoO94NIlEgt69e4sH57Vu3dqodwny8/Px9ttvY/369dBqteL42LFjsW7dOvj7+xutNjIsBg0iIiKiBqKsrAyHDx8WW6IqH15XmZ2dHcaOHYuQkBCMHj0azs7OdVxpVYIg4JtvvsGrr76K7OxscdzPzw8bN25EUFCQEauj2sCgQURERFSPZWRkYOfOnYiMjMTu3btRWlqqd17z5s3Flqi+ffvCzMysjiut3rlz5xAeHo4TJ06IY+bm5liwYAFef/11WFpaGrE6qi0MGkRERET1iCAI+PvvvxETE4Pt27fjzJkzeluiZDIZ+vfvj7CwMAQGBqJly5ZGqLZmubm5WLBgASIiInReQ2hoKNasWYOmTZsarziqdQwaREREREZWWlqKgwcPigfnpaWl6Z3n4OCAkJAQBAcHY+TIkXBwcKjjSu+PVqvFF198gTlz5iAvL08cb968OTZt2oRRo0YZrziqMwwaREREREaQkpKC2NhYREVFYd++fVAqlXrntWrVSmyJ6tWrF2QyWR1X+mBOnz6NyZMn48yZM+KYpaUl3nnnHcyaNQsWFhZGrI7qEoMGERERUR3QarU4c+aMuEvUX3/9pXeeXC7H4MGDxZaohtJelJ2djbfeeguffvqpTpvUY489htWrV8PHx8eI1ZExMGgQERER1ZLi4mLs27cP0dHRiIqKQmZmpt55Li4uCA0NRXBwMIYPHw5bW9s6rvThaTQafPLJJ3jzzTeRn58vjrds2RIREREYNmyYEasjY2LQICIiIjKg27dviy1RBw4cgEql0juvQ4cO4tkW3bp1g1QqreNKH92JEycwZcoUnbszVlZWWLJkCWbOnFmvdr6iusegQURERPQINBoNTp48Ke4SdfnyZb3zzM3NMXz4cISGhiIwMBDe3t51XKnhZGRkYO7cufjyyy91xp966imsWrUKCoXCOIVRvcKgQURERPSACgoKsGfPHkRHRyM6Ohq5ubl653l4eCA0NBQhISEYMmQIrK2t67hSw1Kr1di8eTPmzZuHwsJCcbxNmzbYvHkzBg4caMTqqL5h0CAiIiK6D/Hx8YiJiUFkZCSOHDkCtVqtd17Xrl0RFhaG4OBgdOrUCRKJpI4rrR2///47Jk+ejEuXLoljNjY2WLZsGaZOnQq5nG8rSRf/RBARERHpoVarcezYMbEl6vr163rnWVpaYtSoUQgNDcWYMWPg6elZx5XWrtTUVMyZMwfff/+9zvjEiROxYsUKeHh4GKkyqu8YNIiIiIj+kZubi19//RXR0dGIiYnRaQ+qzNvbG+PGjUNwcDAGDRrUKM+GUKlUWL9+PRYuXIiSkhJxvEOHDtiyZQv69OljxOqoIWDQICIiIpMlCAKuXr0qtkQdO3YMWq22yjyJRIKePXuKu0S1bdu20bRE6XPo0CFMmTIFV69eFcfs7e2xfPlyvPzyy/X+0ECqHxg0iIiIyKSUl5fjyJEjYkvU7du39c6zsbHB2LFjERISgtGjR8PV1bWOK617SUlJeO211/DTTz+JYxKJBC+99BLef/99k/g9IMNh0CAiIqJGLzMzE7t27UJ0dDR27dqF4uJivfOaNGmC8ePHIzg4GP379zeZcyDKy8uxZs0avP3221AqleJ4ly5dsGXLFvTo0cOI1VFDxaBBREREjY4gCLhw4QJiYmKwY8cOnDp1CoIgVJknlUrRr18/hIWFISgoCAEBAUao1rj27t2L8PBwxMfHi2OOjo748MMP8eKLLzbIgwSpfmDQICIiokZBqVTi0KFDYktUSkqK3nn29vYICgpCSEgIRo0aBUdHx7ottJ5ISEjAK6+8gh07dohjEokEU6ZMwdKlS+Hs7Gy84qhRYNAgIiKiBistLQ2xsbGIiorCnj17dNp+KmvZsqW4S1Tv3r1N+swHpVKJVatWYcmSJSgrKxPHe/TogS1btqBLly5GrI4aE9P9LiMiIqIGRxAEnD17VmyJOnv2rN55crkcAwcORGhoKIKCgtC8efM6rrR+2rlzJ6ZOnaqzAN7Z2RkfffQRnnvuObZJkUExaBAREVG9VlJSgv379yM6OhqRkZHIyMjQO8/JyQmhoaEIDg7GiBEjYGdnV8eV1l83btzAzJkzERsbK45JpVJMnz4d7777LhwcHIxYHTVWDBpERERU7yQlJSEmJgZRUVHYv38/ysvL9c5r27at2BLVo0cPfiJ/l9LSUqxYsQLLli2DSqUSx/v164eIiAh06NDBiNVRY8egQUREREan1Wpx6tQpsSXqwoULeueZmZlh2LBhCAkJQVBQEHx9feu40oZBEARERUVh+vTpSEpKEsfd3NywZs0aPPXUU436wEGqHxg0iIiIyCgKCwuxd+9eREdHIyoqCjk5OXrnubm5ITQ0FCEhIRg6dChsbGzquNKG5dq1a5g+fTr27NkjjslkMsyaNQuLFi2Cvb29EasjU8KgQURERHXm5s2bYkvUoUOHoFar9c7r3LkzwsLCEBwcjC5duvDT9/tQXFyM9957Dx9++KHO7+ugQYOwadMmtG3b1ojVkSli0CAiIqJao9FocOLECURHR2P79u2Ii4vTO8/S0hIjRoxAaGgoxo4dC4VCUceVNlyCIGDbtm2YOXMmUlNTxXFPT0+sW7cOjz32GIMaGQWDBhERERlUfn4+du/ejaioKMTExCA/P1/vPIVCgbCwMISEhGDw4MGwtLSs40obvsuXL2PatGk4ePCgOCaXyzFnzhwsWLCAbWZkVAwaRERE9MiuXbsmbj979OhRaDSaKnMkEgm6d++OsLAwBAUFoUOHDvyk/SEVFhbi3XffxerVq3V+r4cPH46NGzciICDAiNUR3cGgQURERA9MpVLh6NGjYkvUzZs39c6ztrbGmDFjEBwcjLFjx8LNza2OK21cBEHAjz/+iFmzZumcJ+Lt7Y0NGzYgNDSU4Y3qDQYNIiIiui/Z2dnYtWsXoqOjsXPnThQVFemd5+vri/HjxyMoKAgDBw6Eubl5HVfaOF24cAHh4eH4/fffxTEzMzO89dZbmDt3LqytrY1YHVFVDBpERESklyAIuHz5stgSdeLECQiCUGWeVCpFnz59xFO5W7VqxU/VDSg/Px9vv/021q9fD61WK44HBgZi7dq18Pf3N2J1RNVj0CAiIiJRWVkZDh8+LLZEVT7srTI7OzsEBgYiODgYo0ePhrOzcx1X2vgJgoBvvvkGr776KrKzs8VxPz8/bNq0CYGBgUasjujeGDSIiIhMXEZGBnbu3InIyEjs3r0bpaWleuf5+/tj3LhxCAoKQr9+/SCX821EbTl37hzCw8Nx4sQJcczCwgILFizAnDlzuEMXNQj8G4KIiMjECIKAv//+GzExMdi+fTvOnDmjtyVKJpNhwIABCA0NRVBQEFq0aGGEak1Lbm4uFixYgIiICJ3/J6GhoVi7di2aNGlixOqIHgyDBhERkQkoLS3FwYMHERUVhcjISKSlpemd5+joiODgYAQHB2PkyJFwcHCo40pNk1arxRdffIE5c+YgLy9PHG/evDk2bdqEUaNGGa84oofEoEFERNRIpaSkIDY2FpGRkdi3bx/Kysr0zmvdurXYEtWrVy/IZLI6rtS0nT59GpMnT8aZM2fEMUtLS7zzzjuYPXs2d+2iBotBg4iIqJHQarU4c+aM2BL1999/650nl8sxZMgQhIaGIjAwEE2bNq3bQgnAne2C33rrLXz66ac6bVKPPfYYVq9eDR8fHyNWR/ToGDSIiIgasOLiYuzbtw9RUVGIiopCVlaW3nkuLi7i9rPDhw+Hra1tHVdKFTQaDT755BO8+eabyM/PF8cDAgIQERGBoUOHGrE6IsNh0CAiImpgbt++LbZEHTx4ECqVSu+8jh07IiwsDEFBQejWrRukUmkdV0p3O3HiBCZPnqxzt8na2hpLlizBjBkzYGZmZsTqiAyLQYOIiKie02g0OHnyJKKjo7Fjxw5cvnxZ7zwLCwsMHz4cISEhCAwMhLe3dx1XStXJyMjA3Llz8eWXX+qMP/3001i5ciUUCoVxCiOqRQwaRERE9VBBQQH27NmDqKgoREdH6+xEVJmnp6fYEjV06FBYWVnVbaFUI7VajYiICMybNw9FRUXieJs2bbBlyxYMGDDAiNUR1S4GDSIionoiPj4eMTEx2LFjB37//Xeo1eoqcyQSCbp27Sq2RHXq1AkSicQI1dK9HDlyBFOmTMGlS5fEMVtbWyxbtgzh4eE88JAaPf4JJyIiMhK1Wo1jx44hJiYGv/zyC+Lj4/XOs7KywqhRoxASEoKxY8fCw8OjjiulB5Gamoo5c+bg+++/1xmfOHEiVqxYwf9/ZDIYNIiIiOpQbm4ufv31V0RHRyMmJgaFhYV653l7e2P8+PEICgrCoEGDYGFhUceV0oNSqVRYv349Fi5ciJKSEnG8Q4cO2LJlC/r06WPE6ojqHoMGERFRLRIEAVevXhVboo4fPw6tVltlnkQiQa9evcSWqLZt27IlqgE5ePAgwsPDcfXqVXHM3t4eK1aswH//+18egkgmiUGDiIjIwMrLy3HkyBGxJSohIUHvPFtbW4wdOxbBwcEYPXo0XF1d67hSelRJSUl49dVX8fPPP4tjEokEL730Et5//33+PyWTxqBBRERkAJmZmdi1axeioqKwa9cundaZypo2bSq2RPXv35/nJjRQ5eXlWL16Nd555x0olUpxvGvXrti8eTN69OhhxOqI6gcGDSIioocgCAIuXLiAmJgYbN++HadPn4YgCFXmSaVS9O/fH6GhoQgKCkJAQIARqiVD2rNnD8LDw3Hjxg1xzNHRER9++CFefPFFHoxI9A8GDSIiovukVCpx6NAh8eC8lJQUvfPs7e0RHByM4OBgjBo1Co6OjnVbKNWK27dvY9asWdixY4c4JpFIMGXKFCxduhTOzs7GK46oHmLQICIiqkFqaip27tyJqKgo7NmzR6dNprKAgACMGzcOQUFB6N27N89IaESUSiVWrlyJpUuXoqysTBzv1asXIiIi0KVLFyNWR1R/8W9BIiKiSgRBwNmzZ8Vdos6ePat3nlwux6BBgxAaGorAwEA0b968jiulurBz505MnToVt2/fFsecnZ3x0Ucf4bnnnmObFFENGDSIiMjklZSUYP/+/YiOjkZkZCQyMjL0znN2dkZISAiCg4MxYsQI2NnZ1XGlVFdu3LiBmTNnIjY2VhyTSqWYPn063n33XTg4OBixOqKGgUGDiIhMUmJiImJjYxEVFYX9+/ejvLxc77z27duLZ1v06NGDn2A3cqWlpVi+fDnef/99qFQqcbxfv36IiIhAhw4djFgdUcPCoEFERCZBq9Xi1KlTYkvUhQsX9M4zMzPDsGHDxJYoX1/fOq6UjEEQBERFRWH69OlISkoSx93c3LBmzRo89dRTPECR6AExaBARUaNVWFiIvXv3Ijo6GlFRUcjJydE7z93dHaGhoQgODsbQoUNhY2NTx5WSMV27dg3Tpk3D3r17xTGZTIZZs2bh7bffZosc0UNi0CAiokbl5s2biImJQWRkJH777Teo1Wq98zp37izuEtWlSxd+Wm2CiouL8d577+HDDz/U+XMyePBgbNq0CW3atDFidUQNH4MGERE1aBqNBsePHxcPzouLi9M7z9LSEiNHjkRISAjGjh0LhUJRx5VSfSEIArZt24aZM2ciNTVVHPf09MS6devw2GOPMXgSGQCDBhERNTh5eXnYvXs3oqOjER0djYKCAr3zFAoFxo0bh+DgYAwePBiWlpZ1XCnVN5cvX8a0adNw8OBBcUwul2POnDlYsGAB2+aIDIhBg4iIDEYQBEgkEpw8eRLnz5/H448/Dnt7e4M8d1xcnNgSdfToUWg0mipzJBIJunfvLrZEtW/fnp9ME4A763XeffddrF69WufPzogRI7BhwwYEBAQYsTqixolBg4iIDEYikeDixYvo3bs3AKBDhw7o2bPnQz2XSqXC77//LrZE3bx5U+88a2trjB07FsHBwRgzZgzc3Nweun5qfARBwI8//ohZs2bpnI/i7e2NDRs2IDQ0lGGUqJYwaBARkUFt3boVvr6+SE1NxbFjxx4oaGRnZ2PXrl2Ijo7Gzp07UVRUpHeen58fxo8fj6CgIAwYMADm5uaGKp8akQsXLiA8PBy///67OGZmZoa33noLc+fOhbW1tRGrI2r8JIIgCMYugoiIGgalUlntOgeNRgOZTIaQkBBxrKCgALt374aFhcU9n3v27NlYu3Yt9P2zJJVK0bdvX4SGhiIoKAitWrXip9BUrfz8fCxatAgbNmyAVqsVxwMDA7F27Vr4+/sbsToi08HjTYmIqFparRanT59GeHg4pFIp1q1bV+1cmUyGpKQkJCYmIjQ0FF27dsWff/6J5OTke15HpVKhRYsWOiHDzs4OTz75JL7//ntkZmbiyJEjmDNnDlq3bs2QQXpptVp8/fXX8Pf3x7p168SQ0aRJE8TExCAmJoYhg6gOMWgQEZFeKpUK3377LcaNG4f//e9/AIB9+/bV+Jjc3FxcuXIFoaGh6NWrF0pKSnD8+PF7XsvMzAxhYWHw9/fHnDlz8NtvvyEnJwc//PADnnrqKTg7OxvkNVHjde7cOfTt2xcTJ05EdnY2AMDCwgJLlizBlStXEBgYaOQKiUwP12gQEZFe5eXluHDhAlxdXfHBBx/gxIkT+Pjjj5GSkgIvLy+9j/n555/RrVs3WFpaokWLFmjZsiV27dqFp556ClJpzZ9teXt74/r167XxUqgRy83NxYIFCxAREaFzRywsLAxr1qxBkyZNjFgdkWnjHQ0iIhNUXl5+zzk2NjZ4/fXXcfbsWTz11FMYMmQIysvLcejQoSpzK7YLvXLlCry8vGBrawtnZ2f0799fvDtBZEharRafffYZmjdvjk2bNokho3nz5ti9eze2b9/OkEFkZAwaREQmIicnBytXrkTPnj0xdOhQvPfee0hPT6/xMW5ubmKI8Pf3R4sWLRAVFVVlnkwmQ1paGs6cOYNRo0YBAFxcXDBs2DAkJycjNjYW69ev19lelOhhnT59Gj169MCkSZOQl5cH4M7J78uXL8fly5cxcuRI4xZIRAAYNIiITMbChQuxevVqtG3bFh4eHli4cCGefPJJnD9/HgB0duepTCaTAbizoLZv3744ePAgiouLq8zLzc1FdnY2Bg8eDLVajePHj2PXrl2Qy+X473//i9mzZ+PPP/+svRdIjV5WVhZefvll9OzZE2fOnBHHH3/8cVy7dg1z587lVsdE9QiDBhGRCdixYwc++eQTvPjii9i0aRO2bduGqKgoXLhwAQsXLgSAe66hsLe3R58+fZCZmYlTp06J4xUtK9HR0dBqtXj55Zfh5+eH/v3748iRI1AoFPD29sbRo0cxaNCg2nuR1GhpNBps3rwZLVq0wCeffCL+mQsICMD+/fvx008/wcfHx8hVEtHdGDSIiEzAxYsX4eDggFdeeUU8pGzYsGF44403EBsbi/3799f4+Io3dh06dICbmxtiYmLEr1W0VnXs2FF87hdeeAG7d+/Gvn37MHXqVKSmpsLKyooHpNEDO378OLp27Yrw8HDk5+cDuHMa/KpVq3DhwgUMHTrUyBUSUXUYNIiITEBBQQHKysrg6uoqjllZWeGJJ56Ao6Mjtm3bhsLCwns+T/PmzdGjRw/s2rULarUaACCX39nAcOTIkYiNjcW3336Ld955B8OHD4e/vz+6d++O8vJynbsgRPeSkZGBF154AX379sXff/8tjj/99NO4fv06Xn31VZiZmRmxQiK6FwYNIiIT4OLiAnNzc1y4cAHAv+sx/Pz8MHz4cBw4cACJiYkAoPdk7ooD8lxcXDBgwABcvnxZnJ+fnw+VSgWpVIquXbtCoVDovAHs0aMHEhMT8dJLL9Xqa6TGQa1WY/369fD398eXX34pjrdt2xaHDx/Gd999B4VCYbwCiei+MWgQEZmAAQMGQKPRiIuxK4eJwMBA3LhxQwwONZ26LZfL0aFDB9jY2GDt2rXYsmULJk2ahF9++QXAv21Uldnb28Pb29uQL4caqSNHjqBTp06YOXMmioqKAAC2trZYt24d/vrrLwwYMMDIFRLRg+CBfUREJqBjx44QBAEnTpzAxIkTxZ2kKr4mkUjuudVtWloaTp48Ke46tW7dOgB3tsAdMWIEAOg8L9H9Sk1NxZw5c/D999/rjE+cOBErVqyAh4eHkSojokfBoEFEZAJsbGzQo0cPnDhxAhkZGXB3d4dWq4VUKoWZmRns7e3FOxoqlQo3b95EXl4eevbsCbVaDblcjvPnzyMsLAwymQy9e/fGk08+iaCgIDRv3tzIr44aKpVKhfXr12PhwoUoKSkRxzt27IjNmzejT58+RqyOiB4VW6eIiBo4QRBw5coVfPjhhxgwYACysrL0zps5cyZu3LiB6OhoALptTmVlZVCpVADunIcREhKC3r17A/h3sXf37t3x888/o6CgAMeOHcPMmTMZMuihHTx4EO3bt8drr70mhgx7e3tERETgzJkzDBlEjQDvaBARNUDl5eU4cuQIoqOjsX37diQkJIhfi4yMxP/93/9V2ZFn8ODB6NChA5YtW4YxY8bAy8sLKpUK+/btQ1FREQIDAwEA7u7uaNGiBUpLS5GVlSXuVOXk5IQJEybU3YukRikpKQmvvvoqfv75Z3FMIpFg0qRJWLZsmc7OaETUsEkEfduLEBFRvZOZmYldu3YhKioKu3bt0mk1qezll1/Gli1b9H7txIkTGDNmDFxdXfHcc89BEARs3rwZISEhWLt2LSwtLQEAJSUlPPOCDKq8vByrV6/GO++8A6VSKY537doVmzdvRo8ePYxYHRHVBgYNIqJ6ShAEXLhwATExMdi+fTtOnz6td+tZmUyGfv36ISwsDIGBgQgICKjxeWNiYvDFF1/gzJkzKCoqwvjx4zFv3jw0adKktl4Kmbg9e/YgPDwcN27cEMccHR2xcuVKvPDCC/c8lZ6IGiYGDSKiekSpVOLQoUOIjo7Gjh07kJKSoneevb09goODERwcjFGjRsHR0fGBrqNSqZCeng4fHx8DVE2k3+3btzFr1izs2LFDHJNIJAgPD8eSJUvg7OxsvOKIqNYxaBARGVlqaip27tyJyMhI7N27V6etpLKAgACMGzcOQUFB6NOnD7eSpXpLqVRi5cqVWLp0KcrKysTxXr16ISIiAl26dDFidURUV7gYnIiojgmCgLNnz4otUefOndM7Ty6XY9CgQQgNDUVQUBCaNWtWt4USPYTY2FhMmzYNt2/fFsdcXFzw0Ucf4dlnn2WbFJEJYdAgIqoDJSUl2L9/P6KiohAVFYWMjAy985ydnRESEoLg4GCMGDECdnZ2dVwp0cO5ceMGZs6cidjYWHFMKpVi+vTpePfdd+Hg4GDE6ojIGBg0iIhqSWJiImJjYxEZGYkDBw6gvLxc77z27dsjLCwMwcHB6N69Oz/xpQaltLQUy5cvx/vvvy+exQIA/fr1Q0REBDp06GDE6ojImBg0iIgMRKvV4tSpU2JL1MWLF/XOMzc3x7BhwxASEoLAwED4+vrWcaVEj04QBERGRmLGjBlISkoSx93c3LB27Vo8+eSTkEgkRqyQiIyNQYOI6BEUFhZi7969iI6ORlRUFHJycvTOc3d3R2hoKIKDgzFs2DCeUUEN2rVr1zBt2jTs3btXHJPJZJg9ezYWLVrElj9qFFRaLS7m5OJcVg7+zs5BeqkSZRoNLGQyeFhZoqOLMzq7OqOdsxPMeCdaL+46RUT0gG7evImYmBhERkbit99+g1qt1juvS5cuYktU586d+ekuNXjFxcVYunQpVq5cqfPnfvDgwdi0aRPatGljxOqIDCOxqAhfXrmOL65cQ94/La9yiQTqSm+ZK//a0dwcL7Ruiedbt4Cvra1Raq6vGDSIiO5BrVbjxIkTYktUXFyc3nmWlpYYOXKk2BLl6elZx5US1Q5BELBt2zbMnDkTqamp4rinpyfWrVuHxx57jEGaGryC8nIsPHkG38bFQyqRQPMAb5FlEgm0goBnA/yxpGc32Jub1WKlDQeDBhGRHnl5edi9ezeio6MRHR2NgoICvfO8vLzEuxaDBw+GpaVlHVdKVLsuX76MadOm4eDBg+KYXC7HnDlzsGDBAtjY2BixOiLDOJCciqmHjyFLWQatnrfGk9s2wYKuAeKvpxz+C7EJVXcPlEokcLO0xMaBfTDUW1GrNTcEDBpERP+Ii4sTW6KOHj0KjUZTZY5EIkGPHj0QFhaGoKAgtG/fnp/kUqNUWFiIxYsXY82aNTrfCyNGjMCGDRsQEBBQw6OJGo5PLl3F3BOnIQWgrWbOgeA+aOnwb1vUweQs/N/Bs3rnSiWAVgA+6N0dk9q2MnzBDQgXgxORyVKpVPj9998RExODX375Bbdu3dI7z9raGmPHjkVwcDDGjBkDNze3ui2UqA4JgoAff/wRs2bN0jnvxcfHBxs2bEBISAjDNTUan/4TMoDqQ0Z3NwedkAEAAxUu8LS2QFpJWZX52n8+wn/jn+c15bDBoEFEJiU7Oxu7du1CdHQ0du7ciaKiIr3z/Pz8MH78eAQFBWHAgAEwNzev40qJ6t6FCxcQHh6O33//XRwzMzPDW2+9hTfffBNWVlZGrI7IsA4kp4phoCZP+nuLP//f9WQ80cIbMqkE/2nuhXUXbtb42DdOnEZzB3uTbaNi6xQRNWqCIODSpUuIiYnBjh078Mcff0DfX3tSqRR9+/ZFaGgogoKC0KpVK35qSyYjPz8fixYtwoYNG6DV/vu5bmBgINatW4fmzZsbsToiwysoL0evbdHIVCrFOxD62Mhl+HPCQNiYyXGjoBiBu/7AmQmDYCWX4XZhCfpHHq3xOlIJ4GZphT8mBJvkAnHe0SCiRqesrAy//fabuEtU5cPEKrOzs0NQUBCCg4MxevRoODk51XGlRMal1WrxzTff4NVXX9U5A6ZJkybYuHEjAgMDjVgdUe1ZePLMPwu/a54X3NQTNmZ33i7/cjMVRSoNfk3MwLhmCjSxs0YfDyccT8+t9vFaAchUKrHo5J9Y07+3IV9Cg8CgQUSNQnp6Onbu3ImoqCjs3r0bpaWleue1aNEC48aNQ1BQEPr27Qu5nH8Nkmk6d+4cpkyZgj/++EMcs7CwwIIFCzBnzhzuoEaNVkJhEb6Ni8f9tPQ86e8FANAKArbduLO189YbKRjX7E4r1JMtvGsMGhWP/SYuHq91bm9y52zwX1giapAEQcBff/0ltkSdOXNGb0uUXC7HgAEDxJYof39/I1RLVH/k5uZiwYIFiIiI0PmeCQsLw5o1a9CkSRMjVkdU+766ev2+zslo6WCDbm6OAIAT6blIKlYCAI6k5iC1WAmFjSXG+LpjgZkchSr9B7dWkEok+OrKdSzo3tkQL6HBYNAgogajtLQUBw4cQHR0NCIjI5GWlqZ3nqOjI0JCQhAcHIyRI0fC3t6+jislqn+0Wi2++OILzJkzB3l5eeJ48+bNERERgZEjRxqvOKI6otJq8cWVa/d1GF/lReBbb6SIPxcAbLuZiuntm8FKLkNYU098c01/i24FjSDg8yvXMLdrR5hJpQ9df0PDoEFE9VpycjJiY2MRFRWFffv2oays6laCANCmTRuxJapnz56QyWR1XClR/XX69GlMnjwZZ86cEccsLS3xzjvvYPbs2dxVjUzGxZxc5JWX33OeXCLB+OZ32qNK1Joqh/NtvZGC6e2bAQCeaOF1z6ABAHnl5biUk4dOrs4PUXnDxKBBRPWKVqvFn3/+KbZE/f3333rnmZmZYciQIQgNDUVgYCDbPYj0yMrKwltvvYXPPvtMp03q8ccfx0cffQQfHx8jVkdU985l5dx7EoARPm5wtbwTwHclpKNErXuAa3xBCc5m5aOLqwM6uTigtaMtruTp3y5d5/rZOQwaRER1qaioCPv27UN0dDSioqKQlZWld56rqytCQ0MRHByMYcOGwdbEFtUR3S+NRoNPPvkEb775JvLz88XxgIAAREREYOjQoUasjqh25ebm4s0334RMJsOoUaMQHBwM6T/tSn9n50AukUB9j9apJ1p4iT/f+s8i8LttvZGCLq4OAO4sCn/n9NUan1MukeCvrGygVYsHeTkNGoMGERnF7du3ERMTg8jISBw6dAgqlUrvvE6dOiEsLAxBQUHo2rWr+I8FEel3/PhxTJkyReduoLW1NZYsWYIZM2bAzMz09vIn0/Ltt9/i448/BgBERETAzMwMw4cPx7Jly5BeqrxnyPC0ssAghQsAIKVYiaNp+u+CRN1Kw6JurWAhk2JcU0+8dyYOqhr2y1ULAjJKlQ/5qhomBg0iqhMajQZ//PGH2BJ1+fJlvfMsLCwwYsQIhISEYOzYsfD29tY7j4h0ZWRkYO7cufjyyy91xp9++mmsXLkSCoVpnkxMpqfyoZMAoFKpsGvXLuzatQsOc96CtE27Gh//uL8X5P98qPXLzdRqt8HNK1djX1ImApt4wNnSHKN83BGTkF7jcys1mhq/3tgwaBBRrSkoKMDu3bsRHR2N6OhonZ1uKvP09ERYWBiCg4MxZMgQWFlZ1W2hRA2YWq1GREQE5s2bh6Kif3vE27Zti82bN2PAgAFGrI7I8EpLS5Gamir+l5KSIv6YnJyMS5cuVftYtVIJM0GARCKpds4T/v+2TU1v30xc9H0vT7TwumfQsDSxjUoYNIjIoK5fvy62RB05cgQaPZ/eSCQSdO3aVdwlqmPHjjX+pU9E+h05cgRTpkzReWNla2uLZcuWITw8nAdSUoNSUlJSJThUhImkpCQkJSUhNTVVJ1A/KCE/D9BogGq+N/p4OKGJnfVDPfcATxcorC2QWqJ/d0S5RAJ3K9M6CJN/AxHRI1Gr1Th69ChiYmKwfft2xMfH651nZWWF0aNHIyQkBGPGjIGHh0cdV0rUeKSmpmLOnDn4/vvvdcaff/55LF++nN9fVK8UFRXpvftQESASExORkZHxSAGiMrlcDrVa/wF6dvl5KK8hgD/Z4t923djb6biaf++aurs6YqCXC2RSCf7j74W152/qnacWBHRydbnn8zUmDBpE9MBycnLw66+/Ijo6GrGxsSgsLNQ7z8fHB+PHj0dQUBAGDhwICwuLOq6UqHFRqVRYv349Fi5ciJKSEnG8Y8eO2Lx5M/r06WPE6sjUFBYW6tx1qBwiKu5ApKen6/xZfRQWFhZwd3eHt7c3fH19oVAo4OXlVeVHc3PzKrsSyuVyrFixAkP/byKGRv2q9/ntzeQY6+sO4M7BfvNOXkZOmf6NSipr7WiLvV53vvceb1590ACAzi6ms7UtwKBBRPdBEARcuXJFbIk6fvx4lcV2wJ2WqN69e4u7RLVp04YtUUQGcvDgQUyZMgVxcXHimL29PVasWIH//ve/PKSSDEIQBBQUFFRpXar4eWJiohgglErD7KBkaWkpBgg/Pz+d4FD55w4ODvf9b0pAQADi4uIgk8kwcOBA/PLLL3B0dIRKq4WjubneQ/vCmnnCUn7n++hQSvZ9hQwAuJJXhAs5BWjvbI8mdtbo6+GEY+m5VeY5mpujrbPjfT1nY8GgQUR6lZeX4/Dhw2JLVEJCgt55tra2CAwMRHBwMEaPHg0XF9O6LUxU25KSkjB79mxs3bpVHJNIJJg0aRKWLVsGV1dXI1ZHDYUgCMjPz6/SunR3gMjMzDRYgLCysoK7uzt8fX3h4+NT5e5Dxc/t7OwM/qHUL7/8gsjISIwbNw5t2rQRx82kUrzQuiXWnb8EzV3b3D7h/2/b1NYbKQ90vW03UtHe2R7Anfaru4OGTCLBi61bwszEtmiXCMI9NhMmIpORmZmJnTt3Ijo6Grt27ar2dnezZs3Elqh+/fpxX36iWlBeXo7Vq1fjnXfe0Xnj17VrV2zevBk9evQwYnVUXwiCgNzc3GpbmBITE5GcnIyMjAyU6/kU/2HY2NjoBAh9LUwKhQJ2dnYGuZ6hJRYVofNPkTrb1rZ1ssXuwDvtT3llKnTb9hvKazgT424uFmY4NWEgzKRSKNUadNt2GAWqf9eJSACc+08ofE3soFne0SAyYYIg4MKFC4iOjsaOHTtw+vRp6PvsQSaToX///ggNDUVgYCACAgKMUC2R6dizZw/Cw8Nx48YNcczR0RErV67ECy+8wIMrTYAgCMjOzq62hSkhIQEpKSnIyMio9sDTB2VrawsPDw/4+PhUWQNR+ec2NjYGuZ6x+Nra4tkAf3x37Qa0//yb92SluxnRt9MeKGQAQHaZCodSsjHCxw2WchnCmnni67gkAIBUIsGzLZubXMgAeEeDyOQolUocOnQIUVFR2LFjB1JTU/XOc3BwQHBwMIKDgzFy5Eg4OjrWbaFEJuj27duYNWsWduzYIY5JJBKEh4djyZIlcHY2rYWkjZFWq0V2dnaNLUzJycnIysoyWICws7ODp6cnfH194e3trffug0KhgLX1w23r2hAVlKvQa1s0MpWleMBM8UCkEsDN0gp/TAiGvbnp3f1n0CAyAampqYiNjUVUVBT27t1bbf9tQECA2BLVu3dvLi4lqiNKpRIrV67E0qVLUVb27x78vXr1QkREBLp06WLE6uh+aLVaZGZm6g0PycnJSExMRGpqKjIzM/WeL/QwHBwc4OnpCR8fn2pbmDw9PXkIajUOJKfisd0Hav06W0cNxVBvRa1fpz5i0CBqhARBwNmzZ8WWqHPnzumdJ5fLMWjQIISFhSEwMBDNmt3f6adEZDixsbGYNm0abt++LY65uLjgo48+wnPPPced24xMo9EgIyNDbwtTSkoKEhISkJqaiqysLL278T0MR0dH8Q5ERYC4O0R4enpyy3AD+PTSVbxx4nStPf+HfXrgpTam227MNRpEjURJSQn27duH6OhoREVFISMjQ+88Z2dnhISEICQkBMOHD6+3i/WIGrsbN25g5syZiI2NFcekUilmzJiBxYsXw8HBwYjVNX5qtRoZGRl6T6GuuAORkpKCnJwcgwQIiUQCR0dHKBSKGluYPD09YW5uboBXSPdjUttWAIA3TpyGVAKDtFFVPI+phwyAdzSIGrTExETExMQgKioKBw4cqHZHkfbt22PcuHEICgpC9+7duZCUyIhKS0uxfPlyvP/++zo9+P369UNERAQ6dOhgxOoaPpVKhfT09Hu2MOXk5Ojd/OJBSSQSODs76wQIfS1MHh4e3KGvHjuQnIpph48jU6kUF4g/DKlEAjdLS2wc2Mdk26UqY9AgakC0Wi1OnTqF6OhobN++HZcuXdI7z9zcHMOGDRN3ifLx8anjSonoboIgIDIyEjNmzEBSUpI47u7ujjVr1uDJJ59km1QNysvLkZaWpncL18otTHl5eQYJEFKpFM7OzvDy8tIJEHeHCHd3d8jlbBBpDArKy7Hw5Bl8GxcPqURS5ZyNmsgkEmgFAc8G+GNJz24mufBbHwYNonqusLAQe/bsEe9c5OTk6J3n7u6O0NBQhISEYOjQoSa1ewhRfRcXF4fp06dj79694phMJsPs2bOxaNEik25hLCsrQ1pamt4WpqSkJCQlJYkBwhCkUilcXV2hUCjg5+cHLy8vvVu4uru7c0MME5VYVISvrlzH51euiSeIyyUSqCu9Za78a0dzc7zYuiUmtm5hklvY1oRBg6geunnzJqKjoxEZGYnDhw9DrVbrndelSxexJapz5878NJSonikuLsbSpUuxcuVKne/jwYMHY9OmTTonFjc2SqVS792HygEiLS0N+fn5BrmeTCaDm5vbPVuYXF1dGSDovqi0WlzKycO57Bz8lZWNjFIllBoNLGUyuFtZopOrCzq7OKOts6PJnfh9vxg0iOoBtVqNEydOiC1R165d0zvP0tISI0eORGhoKMaOHQtPT886rpSI7ocgCNi6dStmzpyJtLQ0cVyhUGDdunWYMGFCg/1goKSkRAwQd4eIijUQaWlpKCwsNMj15HI53Nzc7tnC5OLiwvVnRPUMmwqJjCQvLw+7d+9GVFQUYmJiUFBQoHeel5cXwsLCEBISgkGDBsHS0rKOKyWiB3H58mVMnToVhw4dEsfkcjnmzJmDBQsW1NtTlYuLi/Xefag4RC4pKQnp6ekoKioyyPXMzMzg7u4OLy8v+Pn5VXsKtYuLS4MNZUSmjkGDqA7FxcUhJiYGO3bswNGjR/VumSiRSNCjRw+EhYUhODgY7dq14z+yRA1AYWEhFi9ejDVr1ugcyDZixAhs2LABAQHG2eayqKio2lOok5KSkJiYiIyMDBQXFxvkeubm5nB3d4e3tzd8fX2rtC5V/Ojk5MS/24gaOQYNolqkUqnw+++/iy1Rt27d0jvPxsYGY8aMQXBwMMaMGQM3N7e6LZSIHpogCPjhhx8wa9YsZGZmiuM+Pj7YsGEDQkJCDP6GWhAEFBYWVjlAruLHijUQ6enpKC0tNcg1LSws4O7uDh8fH/j6+uoND15eXnBwcGCAICIADBpEBpednY1du3YhKioKO3furPZTQj8/P4wfPx7BwcHo378/D2giaoDOnz+P8PBwHD16VBwzMzPDvHnzMHfuXFhZWT3Q8wmCgPz8/Hu2MGVkZECpVBrkNVhaWsLDw0NvgKj8c3t7ewYIInogDBpEj0gQBFy6dAnR0dHYsWMHTp48qXcPd6lUir59+yI0NBTBwcEICAjgP9pEDVR+fj4WLVqEDRs26LRABgYGYt26dWjevLnOfEEQkJeXV20LU2JiIpKTk5GRkYGysjKD1GhtbQ13d3f4+vrCx8dH7ynUXl5eJr21LhHVLu46RfQQysrK8Ntvv4ktUcnJyXrn2dnZISgoCCEhIRg1ahScnJzquFIiwxAE4b6CcUZGBnbt2oWYmBhcvnwZcrkcQUFBeOGFF+Dv718HldYurVaLb775Bq+++qrOmTYKhQLh4eHw8/PTCRGVA0TlU8Afha2trU6A0NfCpFAoYMv9/InIyBg0iO5Teno6du7cicjISOzevbvatoUWLVpg3LhxCA4ORp8+fXhiLDV4FSHjxo0beO+993D48GFYWVnhxRdfxEsvvSR+Il5QUIDFixfj008/Rd++fdGhQwdkZmbi559/hkKhwOeff44BAwZAq9XW+21ItVotsrOzde46/Pnnn9i6dSvS09Nr5Zq2trZQKBTiImp9W7gqFAoexklEDQaDBlE1BEHAX3/9hZiYGGzfvh1nzpzRO08ul2PAgAEIDQ1FUFBQo/jUlhq327dv46+//kJqaipatWqFgQMH3vONf2JiIp555hncvHkTTz/9NJKTk/Hjjz8iJCQEW7duhVQqRWZmJr766ivY2toiKCgILi4usLKywtGjRzF8+HAMHz4c0dHR0Gg0RjswTavVIisrS28LU8Ui6uTkZGRlZVV7UOaDsre3h6enp3gGhL67DwqF4oHXcxAR1Xf8qJWoktLSUhw4cEA8lbvyQVuVOTo6IiQkBMHBwRg5ciTs7e3ruFKih3P8+HFMnToViYmJsLCwgCAIePbZZ7Fs2bIa77799NNPOHbsGHbu3IkhQ4ZAIpFg9OjReP7557F+/Xq88sorsLe3x/Tp06uc9dKhQweMHj0af/75JwDUyt0MjUaDzMxMvesfKg6RS01NRVZWls7Ws4/C0dERnp6e8PHxqbaFydPTk2ffEJHJ4h0NMnnJycmIjY1FZGQk9u/fX+1CzDZt2mDcuHEICgpCz549jfaJLNHDSkxMxLBhwyCXy7FlyxY4ODjgu+++w4cffohly5bhzTff1NvWlJeXh5CQEKjVahw7dkwcz83NxZgxY1BWVoazZ8+KLVYV/6xUrOlQKpUICQlBfHw84uPjH6hmtVqNjIyMKrsvVdyBSEhIQGpqKrKzs/WeS/MwnJyc4OjoiKysLJ3Trc3NzTFp0iTMnj0bfn5+3CmOiOgeeEeDTI5Wq8Wff/4ptkSdP39e7zwzMzMMGTJEbIny8/Or40qJDOvkyZO4fv06Dh8+jP79+wMAOnbsiEuXLmHNmjWYM2eO3rsaZmZmuHjxIiZMmADg3zUbjo6OGDJkCFauXInCwkJxrcbdi8bT0tJw6NAhzJo16541fvnll/j555+RmJiIlJQU5ObmGiRASCQSODk5QaFQwM/PD15eXnpbmGQyGd5++2189tlnOrvHPf744/joo4/g4+PzyLUQEZkKBg0yCUVFRdi3bx+ioqIQFRWF7OxsvfNcXV3F7WeHDx8OGxubOq6UqPYcPnwYtra26N+/v3jnQqvVYuLEiYiNjcXhw4cxdOjQKo+ztLREYWEhHB0ddXafkkgkaNu2LTQaDS5duoRevXrpPK5iLUZ4eDgsLS0xc+bMGutTqVS4fv06du7ced+vSSqVwtnZGQqFQlwDoa+FycPDo8bWMI1Gg48//hhvvvkmCgoKxPGAgABs3rwZQ4YMue+aiIjoDgYNarRu376NmJgY7NixA4cOHap2YWenTp0QFhaGoKAgdO3atd7vhkP0sNLT06FQKKBUKsV1A1KpFF26dIGFhQX+/PNPDB48uMr3gEajgY2NDcrKyqBSqWBubi4GDg8PD8hkMqSkpOg8Rq1WQy6XY9WqVdi9eze++uqre94NEAQBCoVCrMvFxQVeXl46AeLuEOHm5vbIO7sdP34cU6ZMwd9//y2OWVtbY+nSpZg+fTrMzMwe6fmJiEwVgwY1GhqNBn/88YfYEnXlyhW98ywsLDBixAiEhIQgMDAQXl5edVwpkXHY2NjAwsICRUVFOguUvby84ODggJs3b6KsrKzK7kfm5uZwcnIST6OuHDTMzc0hk8lQXFwszq8IGb/99hsWLlyIyZMn4z//+c896zMzM8MzzzyDCRMmwM3NrdbXQWVkZGDu3Ln48ssvdcaffvpprFy5Ugw9RET0cBg0qEHLz8/Hnj17EBUVhejoaOTn5+ud5+npibCwMAQHB2PIkCHcRpJMko+PDw4fPoy8vDy4urqKYcHCwgIuLi7Izc2FSqXS+f6oaLFq0qQJ4uPjkZubC3t7e3H9Qnl5OQCIdwxVKhXMzMyQlJSE6dOno127dnjzzTdhYWFxz/oq1n3UNrVajYiICMybNw9FRUXieNu2bbF582YMGDCg1msgIjIFDBrU4Fy/fh0xMTGIjIzEkSNH9G5VKZFI0K1bNzFcdOjQ4b5ONSaq70pKSqrsvlTxY3JyMqZNm4aQkBC97T4BAQEoKipCeno6WrRoAa1WC5lMhrKyMtja2kKj0VRpm6oIGt27d8eXX36J+Ph4NGnSBCqVCjKZDMnJyZDL5WI4MTMzg1qtxoIFC5CRkYEff/wRTZo0Eb9PBUEw6iGWR44cwZQpU3Dp0iVxzNbWFsuWLUN4eDgP2CQiMiD+jUr1nlqtxtGjRxETE4NffvkFN27c0DvPysoKo0ePRkhICMaOHQt3d/c6rpTo4RUVFendwjU1NRWJiYlISkpCenq6TouSPsOHD0d1u5a3bNkSpaWliIuLQ79+/aBWqyGTyZCdnY3S0lJYWVnB1tZW5zEVwWPkyJH4+uuvER0djaFDh4qtVydPnoSLiwu6dOkiPuaLL77A//73PzzxxBOwtrbGL7/8gry8PNy6dQvu7u54/vnnq1yntqWmpuK1117DDz/8oDP+/PPPY8WKFfz7goioFjBoUL2Uk5ODX3/9FdHR0YiNjdXZy74yHx8fjB8/HkFBQRg4cOB9tWcQ1aXCwkK9p1CnpqYiKSlJDBAlJSUGuV5mZma1n8o3a9YMrq6u2L17N1544QXx+yU9PR03b95EUFAQAKC4uBhxcXGwsLBA27ZtAQBDhgzBiy++iBUrVqC8vBzjx4/H7t278fHHH2POnDkICAgQn+uHH35AWVkZvv76a3z33XfQaDQwNzeHVCrFiBEj8OSTT9ZZ0FCpVFi/fj0WLlyo83vcsWNHbNmyBb17966TOoiITBEP7KN6QRAEXLlyRWyJOn78uN698yUSCXr37i3uEtWmTRu2RFGdEwQBBQUFesNDSkqKToBQKpUGuaalpSXc3d3h4+MDX19fvVu4enl5wd7evsbviXfffRcffPABPvjgAzzzzDPIycnBG2+8gYMHD2L//v3o1KkTLly4gE6dOqFTp044c+YMysvLYW5ujry8PKxZswaffvopMjMzYWNjgylTpmDp0qWQSCSQSCQoKSnBwYMHUVJSAoVCAXd3d3h5edX5HQwAOHjwIKZMmYK4uDhxzN7eHitWrMB///tfHrpJRFTLGDTIaMrLy3H48GGxJSoxMVHvPFtbWwQGBiI4OBijR4+Gi4tLHVdKpkIQBOTl5eld/1C5hSkjI6PaE+QflJWVFTw8PPQGiMo/t7OzM0ioTklJwaRJk3D06FH06NEDWVlZyMzMxNtvv42XX34ZAJCUlIShQ4eiadOm2LNnj87ZGQBw7do1yOVyeHp61suNFZKSkjB79mxs3bpVHJNIJJg0aRKWLVsGV1dXI1ZHRGQ6GDSoTmVkZGDXrl2Ijo7Grl27qm0Xad68OcaNG4egoCD069eP+9jTIxEEAbm5uVWCQ8XPExMTkZycjIyMDHEXpUdlY2MDd3d3+Pr6wsfHR+/dB4VCYZRP+lUqFTZv3ozjx4/D1dUVo0aNwujRoxv8J/zl5eVYvXo13nnnHZ07SV27dsWWLVvQvXt3I1ZHRGR6GDSoVgmCgPPnz4tnW/z55596F6rKZDL0798foaGhCAoKQsuWLY1QLTU0giAgOzu72hamxMREpKSkICMjAyqVyiDXtLW1hYeHhxgg9IUHhULBU+Xr2J49exAeHq6zWYSjoyNWrlyJF154gQdxEhEZAReDk8EplUocPHgQ0dHR2LFjB1JTU/XOc3BwQHBwMIKDgzFq1Cg4ODjUcaVUX2m1WmRlZVXbwpSQkICUlBRkZWUZLEDY2dnB09NTb4Co/PP62Cpkym7fvo1Zs2Zhx44d4phEIkF4eDiWLFkCZ2dn4xVHRGTiGlTQSEhIQFZWlrHLqFdcXV3h5+dn7DKQmpqK2NhYREVFYe/evdUugG3VqpXYEtW7d+8G36pBD0ar1SIzM1PvFq7JycniHYisrCy956M8DAcHBzFAeHt7621h8vT01Dkpm+o/pVKJlStXYunSpTrrZXr16oXNmzejc+fOxiuOiIgANKCgkZCQgDatWqNEWWrsUuoVa0srXL56pc7DhiAIOHPmDGJiYrBjxw6cO3dO7zy5XI7BgwcjNDQUgYGBaNasWZ3WSXVDo9EgIyND7/qHlJQUJCQkIDU1FVlZWXp3E3sYTk5OOgFCXwuTp6cntzxuhGJjYzFt2jTcvn1bHHNxccFHH32E5557jjvRERHVEw0maGRlZaFEWYrP/AejlZWjscupF66W5uGl+EPIysqqk6BRXFyM/fv3Izo6GlFRUcjIyNA7z8XFBSEhIQgODsbw4cNhZ2dX67VR7VCr1cjIyNC7/qHyGoicnByDBAiJRAJHR0d4eXnBx8en2hYmDw8PmJubG+AVUkNy48YNzJgxAzt37hTHpFIpZsyYgcWLF7P9koionmkwQaNCKytHdLbh1oR1JSEhQWyJOnDgQLU78rRv315sierevTsXXtZzKpUK6enpetc/VG5hys3NrfaU6QchlUrh5OQEhUIBPz8/eHl56V1A7eHhwR3GqIrS0lIsX74c77//vs6anP79+2PTpk3o0KGDEasjIqLqNLigQbVLq9Xi5MmT4i5Rly5d0jvP3Nwcw4cPR0hICAIDA+Hj41PHlZI+5eXlSEtLu2cLU15ensEChIuLi06A0NfC5O7uXu1p1UTVEQQBkZGRmDFjBpKSksRxd3d3rFmzBk8++STbpIiI6jH+y08oKCjA3r17xVO5c3Nz9c7z8PBAaGgogoODMXToUFhbW9dxpaarrKwMaWlpes+BqDiFuiJAGIJUKoWrqyu8vLz0roGo+LmbmxsX9FOtiIuLw/Tp07F3715xTCaTYfbs2Vi0aBFbMomIGgAGDRN148YNMVgcPnwYarVa77yuXbsiLCwMQUFB6Ny5Mz89NDClUlntFq4VASItLQ35+fkGuZ5cLoerq+s9W5jc3NzY/kZGUVxcjKVLl2LlypU6fy8NHjwYmzZtQps2bYxYHRERPYhGFTRs//gUAFDUa5KRK6l/1Go1jh8/LrZEXbt2Te88S0tLjBo1CiEhIRg7diw8PT3ruNLGoaSkRAwQd4eIijUQaWlpKCwsNMj1zMzM4Obmds8WJhcXFwYIqpcEQcDWrVsxc+ZMpKWlieMKhQLr1q3DhAkT+EEHEVED06iCBunKy8vDr7/+iujoaMTExKCgoEDvPG9vb3Eh96BBg3ieQA2Ki4v1rn9ITU1FYmIikpKSkJ6ejqKiIoNcz8zMDO7u7vD29oavr6/euw9eXl5wdnbmmzCqFwRBeOA/i5cvX8bUqVNx6NAhcUwul+P111/H/Pnzeco6EVEDxaDRyMTFxSE6OhqRkZE4evSo3i1HJRIJevToIYaLdu3amfyb1KKiIr1buFa0MCUmJiIjIwPFxcUGuZ65ubkYIPz8/PTeffDy8oKjo6PJ/7+hhqXyn9d7hQ5BEHDq1Cn07dtX54DGESNGYOPGjWjZsmWt1kpERLWLQaMROHnyJL799lts374dt27d0jvHxsYGY8aMQUhICMaMGQNX18a/RbAgCCgsLNQbHlJSUsQ1EOnp6SgtNcxBkJaWllUChL4Q4eDgwABBjUpkZCR+++03WFpaomnTpnj22WfvuWGERCJBz5490aNHD5w4cQI+Pj7YsGEDQkJC+P1BRNQINPqg8WtuAiJzb+GPwnSklpdAAwHNLe0xwbk5Zio6wEKqu2POt5lxmHLjMN7y7oLHXfzxTuJp/F6YCqVWg47WznjduwtGOfoa9Dr/59YKixJP4UB+Moo1KrSxdsJb3l0w1qnJfb3G8PBwveNNmjTB+PHjERQUhP79+zeaA84EQUB+fn61i6gTEhKQnJyMjIwMKJVKg1zTysoK7u7u8PX1hY+PT7UtTHZ2dnyDRCbl1q1bmDJlCo4fPw4/Pz8kJycjLy8Pu3fvxg8//HDPv3fUajU2b96MHTt24I033oCVlVUdVU5ERLWt0QeNqTePQKlVo62VE9pbO6NAo8KfRZlYnHQahwpSENV6NGSSqotjbyoLMeRiFJzkFhjq4I3U8hIcK0zDY1d3Y1PzgXjOLcAg10koK8LACztgJzPHYHsvJJUX4Y+iDDwZtw/bW43CMMf7P59CKpWib9++4i5RAQEBDepNryAIyMvL07uFa8Up1BUBoqyszCDXtLGxgbu7O3x8fODr66v37oNCoeBWmkR6XLt2DTNmzEBubi4+//xz9OrVC05OTli6dClWrFiB//3vf3juueeg1Wqr3YRALpejU6dO6NSpUx1XT0REta3RB411TftjmKM3rKT/vtRCTTlevH4Qu/IS8b+seDztVrUP+Mfs63jatSU2NR8A+T8BYVduAp6M24vXbh3DMAdveJnbPPJ1vsu6hpmeHbDUryek/4SCjakXMDfhBFaknLuvoDF69GhMnDgRo0aNgpOT0/3/5tQRQRCQk5NTbQtTxSnU6enpOqf+PgpbW1t4eHjoBAh9IYKLTIke3pEjR7Bnzx58++23GDdunBgmXnrpJezevRuffvopnnvuOe50RkRkohp90Ahyrtp+ZCczx/ImvbErLxExubf1BgBbqRlWNOkthgwAGOPkhzDnZtiWcwPfZMZhrneXR75OUws7vOPbXQwZADDZsy2WJ5/FqaIMlGs1MJfWfCDae++9h65du9Y4pzYIgoDs7OxqF1EnJCQgJSUFmZmZBgsQdnZ28PDwqNLCdPcdCB4mSFQ7Kt+d6NChA3755ReEhYXpfK1Fixawt7eHVquFSqWCXC5vUHdXiYjIMBp90ACA68p87M5LxA1lAUq0amgFAcI/X4tX6j8IbaiDN5zkFlXGH3fxx7acGzhWmFblaw9znQH2iipBQi6RoomFLc6VZCNHXQZP87p906zVapGVlaV3C9fk5GQkJSUhOTkZWVlZ1R7096AcHBx0AoS+uw+enp7s3yYyApVKhT/++APe3t5wdHQU75y2a9cOXbrc+cBFEARIpVKoVCqYmZmhrKwMNjY2MDMzM2bpRERkRI06aAiCgHkJf2BD2gXxDf/dirT6P2n3s7DVO97kn/HU8hKDXKdy+1VltrI7/ziXCRq9X38YGo0GmZmZetc/pKSkICEhAampqcjKytLZavJRODo6wtPTUydA3B0iPD09YWFRNdQRkfF9+umn+OCDD1BWVobExES0a9cO77//PoKCgnTuHFbcsTAzM4NWq8XNmzfx3HPPAUCNazSIiKjxatRBY2vODaxPuwAfcxssb9IbvWzd4Sq3gplUinKtBs6nvoBQXTKoo+sY4p9ejUZT7fqHymsgsrOz9Z6r8TCcnJygUCjg6+sLb29vvQuoPT09G81OV0SmJjc3FwsXLsRPP/2E8ePHo3v37igsLMS6deswZ84cODg4YMCAAXofe/XqVZSUlKBNmzYAwJBBRGSiGnXQiM65BQBY07QfRjv56XztZllhjY9NKNN/snNC+Z1xRaV2pke5jiH06tULggESk0QigbOzs06A0NfC5OHhwXYIokZMEAT873//w7Zt2zBjxgxMnjwZ7u7uAICePXtiwIABOH78eJWgUXFAX1xcHEpLS9GqVSvxa6WlpVAqlfVywwoiIqodjTpo5KnLAQDeetqTfsm+UeNjD+QnI09dBse71mls/edxfew8DXIdQ7hXyJBKpXB2doaXl5dOgLg7RLi7u0Mub9R/JIjoPkgkEiQkJKBXr15YuHChOF5eXo4+ffqgZcuWOHv2bJXHVQSNU6dOwcnJCZ07d4ZKpUJ8fDw+//xz5OTkYNGiRfDz86vyWCIianwa9bvKFlYOOFCQjM8zruCjpn3FHuKjBWlYm3q+xscWaVV4K+EPrG/WX9x5ak9eIn7JvgErqQzPuf57jsajXMcQWrZsidatW8PLy0tvC5O7uztkspp3riIiAv5dT7FkyRJkZmYCuNOeKZPJYG5ujuLiYkilUkilUjFYVKhokfr777/h7++P/Px87NmzB6tXr8b58+exbNkyhgwiIhPS6IJG5Q0Uwz3a4bvMOHyScRlHClPR3toZKeUlOF6YhpmKDjWGgCdc/BGVcwtHClLR3dYNaeUlOFqYBgHAh036wNvCxiDXMYQff/zRKNvbElHjUxEWZDIZPD09xZ9XUKvVKC4uhkKh0LtlbWFhIW7evAlHR0fMmzcPX3/9NUJDQ3HgwAG4uLjUzYsgIqJ6odGs0FNq72yzaiP9d+1ASysHHG4fhrGOfshWKbEzNwHFGhXWNeuP9/x61fh8zS3tsb9dMNpbO2N/XjL+LM5ET1t3/BwwEs+7t9aZ+yjXISIyhru3pr7fdV6pqalISkpCz549AaDKDnVpaWm4ePEijh49ihMnTmD37t3Yvn07QwYRkQlqNHc0birvLLr2sdBdJ9HKyhE/tRqp9zFFvSbV+JytrZzwY8CI+7r+g17nWbcAPOsWoGf2Hb+2Dbqv6xIRPYgjR45g1apVsLS0RIsWLfDEE0+gQ4cO932g3vnzd+7Qtmx55wDSirsdFW1U5ubmmDhxIrp27YoZM2bUzosgIqIGoVHc0RAEAVvSLwEABtgpjFwNEVH9IggCtFotVqxYgREjRiA3Nxepqan48MMPMWzYMOzYseO+ngO4EzQcHBzQsWNHAHdapQ4dOoRvv/0WANCkSRN88sknDBlERNSw72hkqZR44/ZxXCzJwcXSXNhJzTBT0cHYZdW5J5544p6LwbmbFJHpkkgkyM/Px5dffonnnnsOixcvhpeXF44dO4ZFixbh+eefx9atWzFs2LBq72xUjB85cgT9+/eHTCbDX3/9hW+++QabNm3CgAEDEBYWBltbW/59Q0REABp40CjWqvBzdjwcZRYIdPTDAp9uaGZpb+yy6tz169dx/fr1ar8ulUrh5OR0z+1tPTw8+AaBqJE6fPgw4uPjsWzZMnh5eQEA+vbti3Xr1uHxxx/HwoUL4e7uLt6p0CcvLw9nz57FuHHj8Mknn+CDDz5ASkoKlixZgtdee62uXgoRETUQDfpdZRMLOxTeY53Fg7rX2on6SCKR1LiQU6vVIjs7G9nZ2WJ/dXXPc/eJ3/oO7PP09OSBfUQNjJubG9RqtXjwXnl5OczNzdG2bVt88MEHCA4Oxk8//QR/f3/Y2NhU2boWAG7duoWCggL8+uuv+Oqrr/Dkk0/i448/hq2trTFeEhER1XMNOmjQHX/88Qd8fX2RkpKC1NRUnR9TUlKQmJiIlJQUZGVlQavVVvs8giAgJycHOTk5uHjxYo3XdHJygoeHB/z8/ODt7a23ZcvT0xMWFhY1Pg8R1Q0fHx+4u7vj66+/Rr9+/WBubi5+LTAwEE8++SS++uorjBs3Dt26dRNDRuXAUfGBRrNmzbBjxw706sVd9YiIqHoMGo1AxX73FXveV0ej0SArK6tKGKn4MSEhAampqcjMzKyyZeXdcnNzkZubiytXrtQ4z8HBAZ6envD19YWPj4/eli1PT09YWlo+8Osmovvn4+ODvn374sCBA7hw4QLat28vHsQHAK+99hp27NiBgwcPolu3btBqtbh8+TK+/PJLfPjhhwCALl264MiRI+jXr58xXwoRETUQDBomRCaTwcPDAx4eHujcuXO18yparSpCSOVAkpycjKSkJCQnJyMzM7PKXvx3y8/PR35+Pq5evVrjPHt7e3h4eOgEEn13SaysrB7mpROZPIlEgsWLF6N///749NNPsWbNGshkMvGORbNmzTBw4EB88803mDNnDqRSKb7++musWrUK5ubmeO+99wCAIYOIiO4bgwZVIZVK4ebmBjc3N3Tq1KnaeRWtVvrujqSmpiIhIQEpKSnIyMiASqWq8ZoFBQUoKCjAtWvXapxna2urE0gqh5DKP7exsanxeYhMUYcOHRAWFoZffvkFQ4YMQWhoKNRqNczMzODs7Axvb2/Ex8cjNTUVCoUCzz33HNLS0vDUU08Zu3QiImqAJML9HgdrZGfOnEG3bt3wmf9gtLJyNHY59cLV0jy8FH8If/75J7p27WrscqolCIK4b7++UFKxhiQ9PR3l5eUGuaaNjQ08PDzg4+MDX19fvS1bCoWCi1jJ5OTl5aFr166wt7fHgQMH4OzsLH5twoQJuHTpEs6cOcO7h0RE9MgaTNBISEhAm1atUaIsNXYp9Yq1pRUuX70CPz8/Y5fyyARBQH5+fpUwUjmQJCUlITMzE0ql0iDXtLa2hru7u04guTuMeHl5wc7OziDXI6oPdu7cieeeew6tWrXCypUr4eXlhdOnT2PmzJmYNm0a5s+fb+wSiYioEWgwQQO4EzaysrKMXUa94urq2ihCxoMQBAEFBQVV1o9U/FgRSNLT0w0WSCwtLXUCib71I15eXrC3t6/2wDOiulJSUoIVK1ZgwoQJaNu2bZXzcQRBQGxsLMLDw5GWloYmTZogJSUFffv2xddffy2es0FERPQoGlTQIHpQhYWF1bZsJSUliYGkpKTEINezsLCAu7s7vL294efnV23LlqOjIwMJGZwgCIiMjMT06dORnJyM3r174/jx49XOv3r1Kv7880/Ex8eL6zeIiIgMhUGDCEBRUVG1d0iSkpKQmJiIjIwMFBUVGeR65ubmcHNz0wkk+lq2nJycGEjovsTFxWH69OnYu3evOCaTyXD8+HF0796df46IiKjOMWgQPYCSkhK960cqAklSUhJSU1MNFkjMzMzEQFJTy5aLiwvfSJqo4uJiLFmyBKtWrdLZbnrIkCHYtGkTWrdubcTqiIjIlDFoENWC0tJSMYjcfZckOTkZiYmJSEtLQ0FBgUGuJ5fL4ebmBoVCAT8/P713RxQKBVxdXSGVSg1yTTIuQRCwdetWzJw5E2lpaeK4QqHAunXrMGHCBIZPIiIyKgYNIiNSKpVIS0urtmUrKSkJaWlpyMvLM8j1ZDIZXF1ddQKJvrskbm5u4onRVP9cvnwZU6dOxaFDh8QxuVyO119/HfPnz+c5MkREVC8waBA1AOXl5UhLS9O79W/llq3c3FyDXE8qlcLFxQVeXl7w9fWFt7e33pYtd3d3BpI6VFhYiMWLF2PNmjXQaDTi+MiRI7Fhwwa0bNnSiNURERHpYtAgakTKy8uRnp6udx1JSkoKEhISxEBiiG99qVQKZ2fne7ZseXh4VNlile6fIAj44YcfMGvWLGRmZorjPj4+2LBhA0JCQtgmRURE9Q6DBpEJUqvVVQJJxY8Va0hSUlKQm5sLrVb7yNeTSCRwcnK6Z8uWp6cnzMzMDPAKG4/z588jPDwcR48eFcfMzMwwb948zJ07lyd4ExFRvcWgQUTVUqvVyMzM1HsOScVp7SkpKcjOzjZYIHF0dIRCoYCPjw98fHz0tmx5enrC3NzcAK+w/srLy8OiRYuwceNGnd/boKAgrF27Fs2bNzdidURERPfGoEFEj0yj0SAzM/OeLVuZmZkGCSQA4OjoCE9PT71rSCoHEwsLC4Ncr65otVp88803ePXVV5GTkyOON2nSBJs2bcLYsWONWB0REdH9Y9Agojqj1WqRlZWl9xyS5ORkJCUlITk5GVlZWTpnQjwKe3t7nUBS3ToSS0tLg1zvUZw9exZTpkzByZMnxTELCwssXLgQr732mkFqFAQBEokESUlJsLKygouLC7RaLTQaDdvWiIjIoBg0iKje0Wq1yM7Orva09oSEBKSkpCAzMxMqlcog17S1tYWnpyd8fHzg6+urt2VLoVDA2traINerLCcnBwsWLMDmzZt1FumPGzcOq1evRpMmTQx6vW+++QYLFiyAhYUF/P398ddff2HIkCH46KOP4OHhUe3jKkIKABQUFMDKyorhhIiIqsWgQUQNliAIyMnJ0RtGKq8hSU9PN2ggcXd3h6+vb5U1JJWDia2t7T2fS6vV4vPPP8frr7+uc1aKv78/Nm3ahJEjRxqk5soyMjLQpUsXtGnTBsuWLYOvry/27duHiRMn4r333sPcuXNrPNSxqKgI3377Lb7//nv89ddfMDc3R4cOHfDmm29i2LBh4nbHOTk5yM3NhZWVFVxdXRv9mhoiIqqKQYOIGj1BEJCXl6f3HJKKQJKcnIyMjAyUlZUZ5JrW1tY6geTuMJKVlYWlS5fir7/+Eh9jaWmJxYsXY9asWbX2xnzlypV44403cPHiRbRp00YcnzBhAv744w9cuXKl2pCk1WoxadIkfP/995gwYQKGDBmC/Px8HDlyBP3798f06dNhaWmJM2fO4L333sPFixeRnp4OQRDQrl07LF26FEOGDKmV10VERPUPgwYR0T8EQUB+fn61LVuJiYlISkpCRkYGlEqlQa/t4uKCfv36wd/fX2/Llr29vUHOyhg8eDCys7Nx/vx5aLVaSKVSaLVafPLJJwgPD8ft27fh6+ur97Gff/45Jk2ahKioKAQFBQG4szNZQUEBVCqV2Ha1detWfPzxx+jZsyc6deqEgoICREREIC4uDj/88AMCAwMf+XUQEVH9x6BBRPSABEFAYWFhtS1bFae1p6eno7S01CDXtLS0hJubm941JJV/dHBwqDaQqNVqNG3aFIMHD8a3336rs+Zi27ZteOqpp3DgwAH079+/ymOLi4vRo0cPuLu749ChQ0hMTISDgwPs7e2rzM3Pz4eDg4POWF5eHtq0aYNmzZrh2LFjBvgdISKi+o5H9RIRPSCJRAJ7e3vY29ujVatWNc4tLCzEzp07MW/ePNy4cUMcl8lkaNKkCQRBQEZGBoqLi2t8HqVSicTERCQmJuL48ePVzps1axZWrVqld51FaWkpCgoK4OfnB0B3cXfFGpbqWsdu3LiBK1euoE2bNvi///s//PDDD9BoNOjRowdWrlyJAQMGiHMdHByg1WohkUjE57exscHgwYPx66+/1vg6iYio8WDQICKqJenp6Zg7dy6++uornfFnnnkGK1euhKenpzhWXFysd/1I5Zat9PR0FBUV1XhNNzc3qNVqvWs8ioqKIJVK4ezsDAA6O1ylpaXByspK3EK3cggBgCtXrgAA9u7di86dOyM2NhaJiYl49913MXPmTGzbtk3nEMG7g05eXh7S0tLg5uYGAGLbFhERNV4MGkREBqZWq7Fp0ybMnz9fJxi0bdsWW7Zs0duaZGNjgxYtWqBFixY1PndJSYkYRO5u2UpOTkarVq2qbZ0qKSmBTCaDXH7nr/7KQeP69etwc3ODq6ur3semp6cDAAYOHIgff/xRXDDu6uqKcePG4YcffsD8+fOrDRB79+7F4cOHMXfu3CrXJiKixolBg4jIgA4fPowpU6bg8uXL4pitrS3ef/99TJkyRXyT/7Csra3h7+8Pf3//B36sRCKBRqMRD0PUaDSQy+XIyMjAuXPn0KpVK3h5eek8RqPRQCaTidvv9u/fH7a2tigrK4OFhQVatWoFX19fXLt2Tedxd6//mDhxIkaNGoX58+cDgLgNLhERNV68b01EZAApKSl4+umnMWjQIJ2Q8cILLyA+Ph7Tp09/5JDxqCp2svr7778B3Dl1HACOHj2K06dPY/jw4bCzswOAKndFysvLAUBc31Fx10Imk8HKykps1ZJKpdBoNOLjP/vsMzz77LMYPXo0Pv74Y9jY2FR7N6NiG+LU1FRoNBpDvnQiIjIC3tEgInoEKpUK69atw8KFC3V2mOrYsSO2bNmC3r17G7E6XVZWVggMDMTatWvRsWNHPP7440hJScHcuXPRsmVLccva7OxsqFQquLu7i4GiImBUBI6K8eTkZKSmporrM7RarXi3Yvny5Vi0aBH+85//4MMPP4RCoQBQNcRUUKlU+O677zB9+nRxLYmXlxd8fX3h7e1dZctfLy8vuLu7Gz3AERGRfvzbmYjoIR04cABTpkzRaRtycHDAihUrMGnSpHrZHvTuu+8iJycHH3zwAT7++GPk5+fDxcUFmzZtEtux3n77bXz66ae4cOGCuGYkMDAQPj4++OabbzBkyBAxeHzzzTcoLCzEoEGDANwJICqVCvPnz8e6devw8ssvY8mSJXBycqqywPxuEokEqampAO4ElqysLGRlZYl3YKp7jLOzMxQKhU4guXvrXw8PD5iZmRnk95CIiO4PgwYR0QNKTEzEq6++iq1bt4pjEokE//3vf7Fs2TK4uLgYsbqaWVtbY+XKlXj88cdx8eJFmJubIyQkBE2bNhXnJCcno7y8XDwjQxAEKBQKTJ06Fe+88w4mT56MIUOG4PDhw9i1axfmz5+Prl27Arizu9TChQuxefNmzJo1C++++y6srKwAVH8no4KZmRlatmyJwMBAJCYmIiUlBTk5OdBqtdU+RhAEZGdnIzs7GxcuXKh2nkQigaOjIxQKBfz8/ODl5VUljCgUCnh6etbaqexERKaGB/YREd2nsrIyrF69GosXL9Y5Gbxbt27YvHkzunfvbsTqDEej0SAzM1Nn+90KmzdvxpYtW3Dr1i00bdoUM2bMwFNPPSWGiXXr1mHWrFmwtrbGnDlz4OrqChcXFzg7O8POzg4dOnQQ14Hcby0ZGRl6t/5NSUlBQkICUlNTkZWVVWMgeRAVgcTHxwc+Pj56W7Y8PT3FNS5ERKQfgwYR0X3YvXs3pk6dqnPonpOTE1auXInnn3/eJM+E0LeV7e7du/HDDz8gPj4e8fHxyM/PF9euSKVSHDx4UOdwP0PRaDTIysrSe1p7cnIyEhMTkZqaiszMTIMtNHdwcICnp6dOINF3l6TibBIiIlPDoEFEVINbt25h1qxZiIyMFMckEgmmTp0qrj2gmmk0GqSnpyM1NRUtWrSAg4OD0WrRarXIzs6uEkYq7pAkJSUhOTkZmZmZ4jbAj8rOzg6enp7iGhJ9YUShUMDa2tog1yMiqi8YNIiI9FAqlfjwww+xdOlScaclAOjduzciIiLQuXNn4xVHta5i7Ud1p7UnJCQgJSUFGRkZUKlUBrmmra0tPDw84OPjA19fX70tWwqFAjY2Nga5HhFRbWPQICK6S0xMDKZNm4aEhARxzMXFBatXr8azzz57z0XNZDoEQUBubq7elq2UlBQkJiYiOTkZGRkZOoH1UdjY2MDd3R2+vr7Vtmx5eXmJp7cTERkLgwYR0T/i4+Mxc+ZM7Ny5UxyTSqWYMWMGFi9ebNSWH2rYBEFAfn6+3jCSmpoqBpL09HSUlZUZ5JpWVlY6gURfy5aXlxfs7OwYnomoVjBoEJHJKykpwfLly7F8+XKdNpj+/fsjIiIC7du3N2J1ZEoEQUBBQYHeMFIRSJKSkpCenq6z89mjsLS0hLu7O7y9veHn56c3jCgUCjg4ODCQENEDYdAgIpMlCAJ27NiBGTNmIDk5WRx3d3fH2rVr8cQTT/CNFdVbhYWFetePVCxqrwgkJSUlBrmehYWFGEgq1pDoa9lydHTk9w0RAWDQICITFRcXh2nTpmHfvn3imEwmw6uvvoqFCxc+0FkPRPVZUVGR3jCSmpqKpKQkJCYmIiMjA0VFRQa5npmZmU4g0RdGFAoFnJ2dGUiIGjkGDSIyKcXFxViyZAlWrVqls33pkCFDsGnTJrRu3dqI1REZT0lJSbUtWxV3SFJTUw0aSNzc3ODl5VVjy5aLi4tJnlND1BgwaBCRSRAEAT///DNeeeUVpKWlieMKhQLr16/H+PHj+ekq0X0oLS0VA8jdwaTicMS0tDQUFBQY5HpyuRyurq7w8vISzyLRt/Wvq6srAwlRPcOgQUSN3qVLlzBt2jQcOnRIHJPL5XjjjTcwb948nktAVAuUSiXS0tKqbdlKSkpCWloa8vLyDHI9mUwGV1dXKBQKnUByd8uWm5sbZDKZQa5JRDVj0CCiRquwsBDvvPMO1q5dC41GI46PHDkSGzZsQMuWLY1YHREBQHl5OdLS0u7ZspWbm2uQ60mlUri4uEChUMDPzw9eXl56W7bc3d0hl8sNck1qmFRaLS7m5OJcVg7+zs5BeqkSZRoNLGQyeFhZoqOLMzq7OqOdsxPMeDdNLwYNImp0BEHA999/j9mzZyMzM1Mc9/HxwcaNGxEcHMw2KaIGpry8HOnp6XpbtlJSUpCQkCAGEkO8tZFKpXBycrpny5aHhwcDSSOTWFSEL69cxxdXriHvn4M25RIJ1JX+XFX+taO5OV5o3RLPt24BXx6UqYNBg4galfPnzyM8PBxHjx4Vx8zMzDBv3jzMnTsXVlZWRqyOiGqbWq0WA8ndd0kq1pCkpqYiJycHWq32ka8nkUjg5OR0z5YtT09PmJmZGeAVUm0pKC/HwpNn8G1cPKQSCTT/vEW2kkkx2s8d/T2d0cnFAc4WZnAwN4NSo0FumQoXcwvxZ2Y+om6lYYSvD5b07AZ7c/6/Bhg0iKiRyMvLw6JFi7Bx40adNw9BQUFYu3YtmjdvbsTqiKi+UavVyMzM1NuyVRFIUlJSkJ2dbZBAAgBOTk7w9PQUA4m+09o9PT1hYWFhkOvR/TuQnIqph48hS1kG7T9vjaUS4L+tmyC8XVO4WJrf8zk0WgGxCen47EoS5nXrgqHeitouu95j0CCiBk2r1eLrr7/Ga6+9hpycHHG8adOm2LhxI8aOHWvE6oioodNoNMjMzKwSRu5u2crKytJZC/YoHBwcxEDi4+Ojt2XL09MTlpaWBrmeqfvk0lXMPXEaUgAVkdLeTI6NAzpgsJerOO9mQQkOpWThekExcpQqWMtl8LC2QG8PJ/Ryd4KF7M46jd2JGZj021/4oHd3TGrbqu5fUD3CoEFEDdbZs2cxefJknDp1ShyzsLDAokWL8Oqrr/IfYSKqM1qtFllZWdW2bCUlJSElJQWZmZk6Z/g8Cnt7e3h6esLHx0cMJPrukrBltHqfXrqKN06c1hmTSST43/Bu6OXhBADIKC3DwlNXsDMho9rncbIww+Q2TfBCaz8cSc3GpN/+AgCTDxsMGkTU4OTk5GD+/PnYsmWLzqLPcePGYc2aNfDz8zNidURE1dNqtcjJyakSRip+TExMRHJyMjIzM6FSqQxyTVtbW3h4eIh3SPSFES8vL1hbWxvkeg3FgeRUPLb7QJXxeV1aIrxdUwBAUlEpHt97GknFyvt6zgAHG4Q19cQHf8WLY1tHDTXZNioGDSJqMLRaLT777DO88cYbOnvv+/v7IyIiAiNGjDBecUREBiQIAnJycvS2bKWmpiIhIQEpKSlIT083WCCxsbGBh4cHfHx84OvrW+1p7baNYGelgvJy9NoWjUylEtpK74Q9rCzwe1g/WMpk0AoCHttzGqcy8x76OlIJ4GZphT8mBJvkAnEGDSJqEE6dOoXJkyfj7Nmz4pilpSUWL16MWbNmwdz83gv1iIgaG0EQkJeXpzeMpKSkiHdIMjIyUFZWZpBrWltbw93dXWcNyd13Sby8vGBnZ2eQ69WGV34/ge+v3RB3lqrweid/zOxwZ/OQA8lZmHjwrL6HPxCpRIJnWzbHmv69H/m5GhoGDSKq17KysvDmm2/i888/12mT+s9//oOPPvoI3t7eRqyOiKhhEAQBBQUF1bZsJSUlITExERkZGVAq769N6F4sLS3h7u4u3iGprmXL3t7e4GcbXbx4ETt27MD48ePRpk0bna8lFBahy8+R0PcGOHZML3R0sQcATD3yN6JvpxukHgmAc/8JNblzNhg0iKhe0mg0+Pjjj/Hmm2+ioKBAHG/VqhU2b96MwYMHG684IqJGShAEFBYWVtuylZiYiKSkJKSnp6O0tNQg17SwsIC7uzu8vb3h5+dXbcuWo6PjfQeSVq1aIS4uDjKZDP3798eOHTvg6OgIAFhy+hzWnb9U5W6GlUyKy08MhUx65xo9fjmMtBLD3AWSSSR4pUNbLOje2SDP11AwaBBRvXP8+HFMnjwZ58+fF8esra2xdOlSTJ8+nYdeERHVAxWBRF/LVlJSkhhIiouLDXI9c3NzMZDcvYak8o8WFhZV1pHI5XKsWLECM2bNQqvvt4knflfWxNYKv4f1BwAoNRq0/KHqQvFH4WhujqtPT4CZVGrQ563PGDSIqN5IT0/HG2+8ga+//lpn/JlnnsHKlSvh6elppMqIiOhhFRcX6w0jd98hKSoqMsj15HJ5tVsIe3bvgbLwV/R+rbOLPaLH9AJwZ0vbbtsOG6Seyg6GjEEnV2eDP299JTd2AUREarUaGzduxPz583U++WrXrh02b96M/v37G7E6IiJ6FDY2NmjRogVatGhR47zS0lK9YaRiDUlSUhJSU1NRWFhY4/PUdE5JjrUtrAXB4GtC7te57BwGDSKiunL48GFMmTIFly9fFsdsbW3x/vvvY8qUKZDL+dcUEZEpsLKyQvPmzdG8efMa5ymVympbtpKTk3Hp0iWkpKTofay8SVNAowH0/NuSV/bvNsH25ob/t0cukeCvrGygVc2BqzHhv+BEZBQpKSmYM2cOfvjhB53xF154AcuXL4e7u7uRKiMiovrM0tISzZo1Q7NmzfR+fe3atZg1a5ber5m5uEAik+n9WoayHBqtAJlUAkuZDJ7WFgZbDA4AakFARqlhdvRqKExnNQoR1QsqlQqrVq1CixYtdEJGx44dcfz4cXz++ecMGURE9NCkdy22NjMzw9ixY/HXX39h+OgxQDVtUyVqDS7m/tuW1cPN0eC1KTUagz9nfcY7GkRUZ/bv34/w8HBcu3ZNHHNwcMCKFSswadIkyKr5lImIiOh+Pfvss7h48SJkMhlGjRqFoKAgMXxYZPxW42N/S8kSz9F4rLmXwc7RqGBpYv/OMWgQUa1LTEzE7NmzsW3bNnFMIpHgv//9L5YtWwYXFxcjVkdERI2Jk5MTNm/erPdrHlaWkEskUFez6erXcUn4b9smsJTJMNjLBd3dHHA6M98gdcklErhbWRrkuRoKtk4RUa0pKyvD8uXLERAQoBMyunXrhpMnT2LLli0MGUREVGc6ujhXGzIAIK20DF9dTQQASCUSrO/XAd429x8OWtjb4I1O/nq/phYEdHI1rX/zGDSIqFbs3r0bbdq0wVtvvQWl8s7iNycnJ3z22Wc4efIkunfvbuQKiYjI1HS+j61ll5+9jpMZuQAAH1srRI7uiTG+Na8ddDSX4/VO/ogZ0xMBjrbVzuvsYjpb2wJsnSIiA7t16xZeeeUVREVFiWMSiQRTp07FkiVL4OTkZMTqiIjIlLVzdoKjubnek8ErqAUBLx06h40DOmKgwgUeVhb4eFAn3CgoxqGUbFzLL0ZuWTms5TJ4WFmgp7sT+ng4wVJe8/oLR3NztHV2NPArqt94MjgRGYRSqcQHH3yA9957D+WV/gLv06cPIiIi0KlTJyNWR0REdMeS0+ew7vwlaO7xFlgqASa3aYopbZvA2dL8ns+r1moReSsNK/+KR1Kx7ja2MokEr3RoiwXdOz9K6Q0OgwYRPbKYmBhMmzYNCQkJ4piLiwtWr16NZ5991mgnsBIREd0tsagInX+KxP2+AbaWyzDG1x39PJ3R0cUerpbmsDeXo1StQU6ZCpdyC/FHei6ib6cjU6n/TokEwLn/hMLXtvq2qsaIQYOIHlp8fDxmzpyJnTt3imNSqRQzZ87EO++8AwcHByNWR0REpN8rv5/Ad9duQFsHb4OlEgmebdkca/r3rvVr1TcMGkT0wEpKSrB8+XIsX74cKpVKHO/fvz8iIiLQvn17I1ZHRERUs4JyFXpti0amshTaWnwnLJUAbpZW+GNCMOzNzWrvQvUUd50iovsmCAK2b9+OgIAALFmyRAwZ7u7u+OGHH3D48GGGDCIiqvfszc2wcWCfWg0ZAKAVgI0D+5hkyAAYNIjoPsXFxWHEiBEYP348kpOTAQAymQyvv/464uPj8eSTT3ItBhERNRhDvRX4oHftbrX+YZ8eGOqtqNVr1Gfc3paIalRUVISlS5di1apVUKvV4viQIUOwadMmtG7d2ojVERERPbxJbVsBAN44cRpSCQxyh6PieT7s0wMvtQl49CdswLhGg4j0EgQBP//8M1555RWkpaWJ4wqFAuvXr8f48eN5B4OIiBqFA8mpmHb4ODKVykdaIC6VSOBmaYmNA/uY9J2MCgwaRFTFpUuXMHXqVPz222/imFwuxxtvvIF58+bBxsbGiNUREREZXkF5ORaePINv4+IhlUjuec5GZTKJBFpBwLMB/ljSs5vJrsm4G4MGEYkKCgqwePFirF27FhqNRhwfOXIkNmzYgJYtWxqxOiIiotqXWFSEr65cx+dXrokniMslEqgrvWWu/GtHc3O82LolJrZuYXLnZNwLgwYRQRAEfP/995g9ezYyMzPFcR8fH2zcuBHBwcFskyIiIpOi0mpxKScP57Jz8FdWNjJKlVBqNLCUyeBuZYlOri7o7OKMts6OMJNyfyV9GDSITNzff/+N8PBwHDt2TBwzNzfHvHnz8MYbb8DKysqI1REREVFDxV2niExUXl4eFi1ahI0bN0Kr1YrjQUFBWLduHZo1a2bE6oiIiKihY9AgMjFarRZff/01XnvtNeTk5IjjTZs2xcaNGzF27FgjVkdERESNBYMGkQk5c+YMpkyZglOnToljFhYWWLRoEV577TVYWFgYsToiIiJqTBg0iExATk4O5s+fjy1btqDysqzx48dj9erV8PPzM2J1RERE1BgxaBA1YlqtFp999hlef/115Ofni+P+/v6IiIjAiBEjjFgdERERNWYMGkSN1MmTJzFlyhScPXtWHLO0tMS7776LV155Bebm5kasjoiIiBo7Bg2iRiYrKwtvvvkmPv/8c502qSeeeAKrVq2Ct7e3EasjIiIiU8GgQdRIaDQabNmyBW+99RYKCgrE8VatWmHz5s0YPHiw8YojIiIik8OgQdQIHDt2DJMnT8aFCxfEMRsbGyxduhTTpk2DmZmZEasjIiIiU8Tz0okasPT0dEycOBH9+vXTCRnPPPMMrl+/jlmzZjFkEBERkVHwjgZRA6RWq7Fx40bMnz8fxcXF4ni7du2wefNm9O/f34jVERERETFoEDU4hw8fxuTJk3HlyhVxzM7ODu+//z4mT54MuZzf1kRERGR8bJ0iaiBSUlLw1FNPYdCgQToh48UXX8T169cxbdo0hgwiIiKqN/iuhKieU6lUWLt2LRYtWoTS0lJxvFOnTtiyZQt69eplxOqIiIiI9GPQIKrH9u/fj/DwcFy7dk0cc3BwwIoVKzBp0iTIZDIjVkdERERUPbZOEdVDiYmJeOyxxzB8+HAxZEgkErz88suIj4/H5MmTGTKIiIioXuMdDaJ6pKysDB999BHeffddKJVKcbxbt27YsmULunXrZsTqiIiIiO4fgwZRPfHrr79i6tSpuHnzpjjm5OSEVatWYeLEiZBKeQOSiIiIGg6+cyEyslu3biE0NBRjxowRQ4ZEIsG0adMQHx+PF154gSGDiIiIGhze0SAyEqVSiQ8++ADvvfceysvLxfE+ffogIiICnTp1MmJ1RERERI+GQYPICKKjozF9+nQkJCSIY66urli9ejWeeeYZSCQSI1ZHRERE9OjYj0FUh+Lj4zF27FiEhISIIUMqlWL27NmIj4/Hs88+y5BBREREjQLvaBDVgZKSErz//vtYvnw51Gq1OD5gwABERESgXbt2RqyOiIiIyPAYNIhqkSAI2LFjB2bMmIHk5GRx3N3dHWvXrsUTTzzBOxhERETUKLF1iqiWXL16FSNGjMD48ePFkCGXy/H6668jPj4eTz75JEMGERERNVq8o0FkYEVFRViyZAk++ugjnTapoUOHYuPGjWjdurURqyMiIiKqGwwaRAYiCAJ+/vlnvPLKK0hLSxPHvby8sH79eowbN453MIiIiMhksHWKyAAuXbqEIUOG4IknnhBDhlwux7x583Dt2jWMHz+eIYOIiIhMCu9oED2CgoICvPPOO1i3bh00Go04PmrUKGzYsAEtWrQwYnVERERExsOgQfQQBEHAd999h9mzZyMrK0sc9/X1xcaNGxEUFMQ7GERERGTSGDSIHtDff/+N8PBwHDt2TBwzNzfHvHnz8MYbb8DKysqI1RERERHVDwwaRPcpLy8PixYtwsaNG6HVasXx4OBgrF27Fs2aNTNidURERET1C4MG0T1otVp8/fXXeO2115CTkyOON23aFJs2bcKYMWOMWB0RERFR/cSgQVSDM2fOYMqUKTh16pQ4ZmFhgUWLFuG1116DhYWFEasjIiIiqr8YNIj0yMnJwbx58/Dxxx9DEARxfPz48Vi9ejX8/PyMWB0RERFR/cegQVSJRqPB559/jtdffx35+fnieIsWLbBp0yaMGDHCiNURERERNRwMGkT/OHnyJCZPnoxz586JY5aWlnj33XfxyiuvwNzc3HjFERERETUwDBpk8jIzM/HWW2/h888/12mTeuKJJ7Bq1Sp4e3sbsToiIiKiholBg0yWRqPB5s2b8dZbb6GwsFAcb9WqFTZv3ozBgwcbrzgiIiKiBo5Bg0zSsWPHMHnyZFy4cEEcs7GxwdKlSzFt2jSYmZkZsToiIiKihk9q7AKI6lJ6ejomTpyIfv366YSMZ599FtevX8esWbMYMoiIiIgMgHc0yCSo1Wps3LgR8+fPR3FxsTjerl07bPn/9u49OKr67uP4ZzebKwnkBpFLomiACAgYblIYQIVaULAqRh0YEPCBAFoGsSgoWqVoBSECAsEWebxbaMszta1WEcEbBbkLmjRZwAQChCSQC8nuZi/PH8DBmAQCbNgk+37NMEO+5/zO+R4mrvnk9zvnrFql/v37+7A7AACApoeggSZv8+bNSk1NVUZGhlGLiIjQSy+9pMmTJ8ti4T8DAAAAb2PpFJqsvLw8PfTQQxo8eHCVkDFhwgRZrVZNmzaNkAEAAFBP+CkLTY7D4dDSpUv17LPPqqKiwqh3795dq1atUt++fX3YHQAAgH8gaKBJ+eyzz5Samqrs7Gyj1qJFCy1YsEATJ05UQECAD7sDAADwHyydQpOQm5urUaNGaciQIUbIMJlMmjx5sqxWqyZNmkTIAAAAuIqY0UCjZrfbtXjxYr3wwguy2WxGvWfPnlq1apV69uzpw+4AAAD8F0EDjdbHH3+sqVOn6uDBg0YtKipKixYt0rhx42Q2M2EHAADgK/wkhkbn0KFDuvvuuzVs2DAjZJhMJj366KOyWq0aP348IQMAAMDHmNFAo2Gz2bRgwQLNnz9fDofDqPfr108rV65U9+7dfdgdAAAAfoqggUbhww8/1KOPPqqcnByjFhsbq7S0NI0ePVomk8mH3QEAAODnWF+CBi07O1vDhw/XyJEjjZBhNps1Y8YMWa1WjRkzhpABAADQADGjgQapvLxcL730kv7whz/I6XQa9YEDB2rFihXq0qWLD7sDAADAxRA00KB4PB6tX79ejz32mPLy8ox6XFyclixZopSUFGYwAAAAGgGWTqHByMzM1NChQ3XfffcZIcNisWjWrFnKzs7WAw88QMgAAABoJJjRgM+VlZVp3rx5Wrx4cZVlUrfddptWrFihTp06+bA7AAAAXA6CBnzG4/Fo7dq1mj59uo4fP27U27Rpo2XLlumee+5hBgMAAKCRYukUfGL//v0aPHiwHnzwQSNkWCwWPf3008rKytK9995LyAAAAGjEmNHAVVVSUqLf/e53Wrp0qVwul1G/44479NprrykxMdGH3QEAAMBbCBq4Kjwej959913NmDFDBQUFRj0+Pl7Lly/XXXfdxQwGAABAE0LQQL3bs2ePpkyZoi1bthi1oKAgPf300/rtb3+r0NBQH3YHAACA+kDQQL05deqU5s6dq+XLl8vj8Rj1kSNH6tVXX1X79u192B0AAADqE0EDXud2u/Xmm29q5syZOnnypFG/7rrrtHLlSv3qV7/yYXcAAAC4Ggga8KqdO3cqNTVV3377rVELDg7Ws88+q5kzZyo4ONiH3QEAAOBqIWjAK4qKijRnzhy9/vrrVZZJ3XvvvUpLS1NCQoIPuwMAAMDVRtDAFXG5XFq9erVmzZql4uJio56YmKiVK1dqyJAhPuwOAAAAvkLQwGXbtm2bJk+erN27dxu10NBQvfDCC/rNb36joKAg3zUHAAAAnyJo4JKdOHFCTz31lN54440q9QceeECLFi1S27ZtfdQZAAAAGgqCBurM5XIpPT1ds2fPVmlpqVFPSkpSenq6Bg0a5MPuAAAA0JAQNFAnX3/9tVJTU7Vv3z6j1qxZM82fP19Tp05VYGCgD7sDAABAQ2P2dQNo2I4dO6axY8dqwIABVULG2LFjlZ2drenTpxMyAAAAUA0zGqiR0+nUa6+9pmeeeUanT5826l27dlV6err69+/vw+4AAADQ0BE0UM3mzZuVmpqqjIwMoxYREaGXXnpJqampCggI8GF3AAAAaAxYOgVDXl6eHnroIQ0ePLhKyJgwYYKsVqumTZtGyAAAAECdMKMBORwOLVmyRM8995wqKiqMeo8ePbRq1Sr16dPHh90BAACgMSJo+LkNGzZoypQpys7ONmotWrTQggULNHHiRGYwAAAAcFlYOuWncnNzdd9992no0KFGyDCZTJo8ebKsVqsmTZpEyAAAAMBlY0bDz9jtdi1atEjz5s2TzWYz6r169dKqVauUnJzsw+4AAADQVBA0/MjHH3+sqVOn6uDBg0YtKipKixYt0rhx42Q2M8EFAAAA7+AnSz9w6NAhjRw5UsOGDTNChslk0qOPPqoDBw5o/PjxhAwAAAB4FTMaTVhFRYUWLlyo+fPny+FwGPV+/fopPT1d3bp182F3AAAAaMoIGk3Uhx9+qGnTpik3N9eoxcbGKi0tTaNHj5bJZPJhdwAAAGjqWC/TxGRnZ2v48OEaOXKkETLMZrNmzJghq9WqMWPGEDIAAABQ75jRaCLKy8v14osv6uWXX5bT6TTqAwcO1IoVK9SlSxcfdgcAAAB/Q9Bo5Dwej9avX6/HHntMeXl5Rj0uLk5LlixRSkoKMxgAAAC46ppM0MjJyVFBQYGv26gXsbGxSkhIqFbPzMzU1KlTtXHjRqNmsVj0+OOPa+7cuQoPD7+abQIAAACGJhE0cnJydGOnJJXbKnzdSr0ICwnVD5kZRtgoKyvTvHnztHjx4irLpG6//XYtX75cnTp18lWrAAAAgKQmEjQKCgpUbqvQ6hsGq1NopK/b8arMilOaaN2kgoICxcfHa+3atZo+fbqOHz9u7NOmTRstW7ZM99xzD8ukAAAA0CA0iaBxTqfQSPVoFuvrNuqF1WrVjBkz9MUXXxg1i8WiJ598UnPmzFFYWJgPuwMAAACqalJBoyl78MEH5Xa7ja/vuOMOvfbaa0pMTPRhVwAAAEDNCBqNxLmQER8fr+XLl2vEiBE+7ggAAACoHS/sayQsFouef/55ZWZmEjIAAADQ4PnNjMaP9lJ12f1nSVJZ30dq3W+ydbPeLcjS7LY36+l2PY36MUe5lh79Tp8U5+pHe6k8HqllYKgSgsP1i4hrdE90e3VrFlPrcbeX5Wvw/r9Lkp5um6zZ7ZIvqf+//e1vBAwAAICrpNLt1v6ik9pdUKS9hUU6XmGT3eVScECA4kJD1C0mWj1io9UlOkqBZn53XxO/CRpXYu/pQt2V8S8VOe2KtgTrFxHXKNoSovzKCu0sO6GvS4+p0GnT0vYDaj3G+wXZxt/XFlovOWi0bdv2svsHAABA3eSWlel/M7K1JiNLpxwOSZLFZJLT4zH2OfP1mZ/tIoOCND6pgx5OSlQ87zCrgqBRB/9j3aQip12jYzto8XW/ULOAQGObw+3Sp8WHVeS01zq+0u3WXwoPSJLiAkOVZSvWt2X56h3eqt57BwAAwMWdduRLkqKDpMe7tdHj3dpIkhwut8oqnSqtdOp4hV37ikr1XVGJNhw+oVMOp045HFr63fd6de9+jel4g+b16anmQYEXOpXfIGhcRLatWPsrTspiMunV9v0Vaq76TxZkDtCdUdde8BifFueq0GlTv/A43R7ZTr8/vEPvF2QTNAAAABqAjUeOqm/LgBq3BQWYFR0QpOiQIF0bEaY+raIkSTaXSx/n5GvhHqtyys68NPrdrAP6JDdPywf2021tW1+1/hsqgsZFFFTaJEkR5qBqIaOuPji7bOqB2EQNaXEmaPy18IBeTriFNX0AAAA+9MfvM/Xkf7Yrd8xQo/bIpt3G300mqZnFouZBFnWKDFevlpHqFBmukIAA/bp9aw1t11LPbc/Un615cns8OmGr0Kh/b9SCW3rpkc6dfHBFDQdB4yLaBjWTJJ102bW2wKqU2BsuaXyx06F/ncxRkMmse2PaK9oSolvCW+k/Zfn6tDhXwy8yGwIAAID68aezIePn/n34xAXH3RzbQrNvTlS/uGg1C7RowS2dVeF06e8/Hpf77K0cs84e15/DBr9Ov4j44HANadFOkjTB+rmGff9PLcrbo8+Lj6jY6bjo+P8rOiibx6VfRsYr2hIi6czMhlT1BnEAAABcPRuPHDXCwKXaVVCsBzfs0DtZhyVJZpNJi/p1Ueuw4Cr7zfrPdm08cvSKe22sCBp1sPqGwRoWGS9J+rL0qJ7L/VYjMj5Swo63NfyHf+rz4iO1jn2/IEuS9EDM+Td43xt9vQJNZn10MqdOYQUAAADeU+JwaNoX38hsuvxjuD3S3G0Z2l1QLEkKsQTosa7tq+xjNknTvtiiEkfllbTbaBE06iAmMETrOt2hLV3v0Zy2ybqteVtFBQTLJY++KDmqERkfadnR76qNy7WX6evSY4oMCNLwqIQqx7sjMl42j0vriw5czUsB4OfsdruefPJJtWnTRqGhoerbt68+/fTTOo09cuSIUlJSFBkZqebNm+vuu+/WgQPVP8OOHz+u8ePHq1WrVgoNDVVycrLWrVvn7UsBgMs2d9tOFdjsxjKny+X0eLTku/Ofg/e2by2L6Xx6cXukEzabnt2248pO1Ej5TdCoa2A99/1mqmHETc1iNKddsv5+4zAd6jlaH994p245++SoubnblGMvrbL/nwuy5ZH06+j2CjZXfZLBuRmOD1g+BeAqevjhh7V48WKNHj1aS5YsUUBAgIYPH66vvvrqguPKysp06623avPmzZozZ46ef/557dq1S4MGDVJhYaGxX0lJiQYMGKC//vWvmjx5sl555RVFREQoJSVF7733Xn1fHgBcVE5pmd75r1UuzxWmjLM2HCnQKfuZGYtmgRZ1j2leZbvb49Hb/7Uqt6zMK+drTPzmZvCfPjGq3OVUWEDNl17udkqSmtWy/ZwAk1kDmrfW35OG6+a963TEcVobio9oQqskY59z92B8WXJUQ/d/WGW8w+OWJH1dekw59lIlBEdc+kUBwCXYtm2bPvjgAy1cuFBPPPGEJGns2LHq2rWrZs2apW+++abWsStWrFBWVpa2bdum3r17S5KGDRumrl27atGiRXrxxRclSatWrVJ2drY+++wz3XbbbZKkKVOm6JZbbtHMmTM1atQoBQUF1fOVAkDt3szMltlk8lrQkKTdhcUa3CZWktQ9prl2nF1OdY7ZZNKbGdl6plcPr52zMfCbGY1oS7BCz84qHLSX1LrfIduZbW3OPm3qYsICLOrVrKUkqfDso3AladfpAmXaTkmSrPYSbSk7XuXPjtNnnmbgkfTnAuulXg4AXLK//OUvCggI0KRJk4xaSEiIJk6cqC1btig3N/eCY3v37m2EDElKSkrS7bffrrVr1xq1L7/8Ui1btjRChiSZzWalpKTo2LFj2rx5s5evCgCqO3bsmHJycqrVK91urcnI8mrIkKTDp8//DBgTUv2XKS6PR29kZKnS7fbqeRs6vwkaASazbgmPkyT9+1TN/zM9bC/T3vIimWVSv7P7eurwjXjAfi6chBm1c0uipre+SWV9H6nxz0c33lllXwCoT7t27VLHjh3VvHnVaf0+ffpIknbv3l3jOLfbrb1796pXr17VtvXp00dWq1WlpWeWjtrtdoWGhlbbLyzszOfjjh3+uU4ZwNWTk5OjxMREXXvttbrpppv01ltvGdv2F53UKYf3H8RTbD9/s3dUcM1vBT/lcOj7olNeP3dD5jdBQ5KmXtNVkrQ4b4++Lcuvsq3Y6dCUA1/ILY9GRl+ndsHhkqR95UUa+cNH2nDqsNw/Cx2VbrdePLxT35UXKcxs0dCzT6ZyedxaV3hmluL+mNrfu9E/4hq1CQxTpu2Udp0u8Np1AkBNjh49qtatq7+p9lwtLy+vxnFFRUWy2+11GtupUycdPnxYP/74Y5X9vvzyS0lnbigHgPq0detWnT59WpK0b98+jRs3TnFxcXrrrbe0u6CoXs75k/u/daHfUe8urJ/zN1R+c4+GJA2LStCM1t2UdnSvbt//oXqHt9S1wREqcTm0pfS4il0OdQ6NUtp1vzDGeCRtLDmijSVHFG0JVvewGLUMDNVJp117ywt1vLJCFpNJy9oPUKvAM7/F+6z4iPIrK9QhpIV6NIuttR+zyaT7Yq7XsmP79H5Blm6+wL6rV6/WRx995LV/CwBN0y9/+UslJycrICCg2raKigoFBwdXq4eEhBjba3KuXpexjzzyiNLT05WSkqK0tDTFxcVp7dq1Wr9+/QXPIUkul0s7d+7UJ598cqFLBIAL2rdvX7Vafn6+xo0bp+bj/0eB/QfKbbqC59rWoEXQ+VmMk7U8ytZiMmlPQaHUKbHG7U2RXwUNSZqX0EcDm7fW6vwMfVuWrx2nTyjMbFHHkEjdHX2dJsV1VrOA898sncOi9M+k4fqs+LC+KT2mLFuxvi49JovJrPigcN0Zda1S47qoc1iUMebcTeCjYq6/aD/3x9ygZcf2aV2BVS8m9JXFVPMk04oVK67wygH4g4iICHXv3r3GoBEaGiq73V6tbrPZjO01OVevy9hu3brpvffeU2pqqvr37y9Juuaaa/Tqq69qypQpCg8Pr7V3l8ulLVu26JlnnrnQJQLAZXM1C5dZdX8aaV3FNzv/+Vloq3lpltPjUX6FrcZtTZXfBQ1JGhoZbyxzuhiLyaxBLdpoUIs2dT7+msRbtSbx1jrtmxzeUmV9H6nzsQHgcrVu3brGpUtHj555a22bNjV/zkVHRys4ONjY72JjR40apZEjR2rPnj1yuVxKTk7Wpk2bJEkdO3a80ssAgMtmCgyUycuzGSZJPWLP3/u262dPnPopm8vl1XM3dH4ZNBqjtLQ0JSb6z1QbgMvTpUsXWSw1f7T36NFDn3/+uUpKSqrcEL5161Zje03MZrNuuukmbd++vdq2rVu36vrrr1dERNVHdAcFBVV5QtWGDRskSUOGDKm1d4vFohEjRuj66y8+GwwAtfnqq6/08ssv17gtIiRE3p5TGNqupZqfXTpVVunUd0Wlte4bUsNsc1NG0GgkBg4cqOTkZF+3AaARGzVqlF555RW9/vrrxns07Ha71qxZo759+yo+/sxMb05OjsrLy5WUlFRl7FNPPaXt27cbT5/KzMzUxo0bjWPVJisrS+np6brrrrsuOKNhNpvVvn17tW/f/kovFYAfq6ysfo9E//79tWbNGq3ML9I7/7XK6aXH21pMJv3mpvOfWeusebU+OtdiMqlVaIhXzttYEDQAwE/07dtX999/v2bPnq38/HwlJibqzTff1KFDh7R69Wpjv7Fjx2rz5s1VHu89depU/fGPf9Sdd96pJ554QoGBgVq8eLHi4uI0c+bMKufp3Lmz7r//fiUkJOjgwYNauXKloqOjlZ6eftWuFYD/GjRokDp06KATJ05oxIgRmjt3rjp06CBJ6ubKktPjndcKmE3SvD5J6h7TQpJU4XRpxf5Dte7v9HjUPTbGK+duLAgaAOBH3nrrLc2dO1dvv/22Tp48qW7duukf//iHBg4ceMFxERER2rRpk2bMmKHf//73crvdGjx4sNLS0tSyZcsq+3bv3l1r1qzR8ePHFRsbq5SUFD3//PNq1apVfV4aAEg6c1/ZDz/8ILPZXO1+jB6x0V45R4+Y5pqT3EH94s4cz+3xaMY3+3SsovpDM6qO8875GwuCBgD4kZCQEC1cuFALFy6sdZ9zN27/XLt27bRu3bqLnuP999+/3PYAwCtqevKeJHWJjlJkUNBFX9p3R7uqv0BpFmhR8yCLOrYIV++WLZQUdf6+tLJKp+Z+m6F/5uT//DBVRAYFqXN0ZN0uoIkgaAAAAMAvBJrNGp/UQUu/+77Weykk6U+De1z0WDanSx/n5mvB7mzlnr7wLeYBJpMmJHVQoNmv3pVN0AAAAID/eDgpUa/u3V/n/Svdbp2udKm00qmj5TbtLyrV3qISfXr4hIodzjodw+3xaFyS/z09lKABAAAAvxEfHq4xHW/Qu1kH5P7JrEb8O5/Wy/nMJpPGdLhe8Rd4YWlT1aSCRmbFKV+34HVN8ZoAAAB8aV6fnvokN08nbBVye+dJtzUym6SWISF6oU/P+jtJA9YkgkZsbKzCQkI10brJ163Ui7CQUMXGxvq6DQAAgCaheVCglg/sp1H/3liv53F7pOUD+xkv9PM3Jo/HS28s8bGcnBwVFBT4uo16ERsbq4SEBF+3AQAA0KT86ftMzfrP9no7/sJ+vTXxxtpfVNrUNZmgAQAAAFyqc2HDbJJXllGdO46/hwyJoAEAAAA/t/HIUU37YotO2GxVbhC/VGaTSS1DQrR8YD/d1ra1FztsnAgaAAAA8HslDofmbtupd/5rldlkuuB7Nn4uwGSS2+PRmI43aF6fnn57T8bPETQAAACAs3LLyvRmRrbeyMgy3iBuMZnk/MmPzD/9OjIoSBOSOmhcUqJfPsL2QggaAAAAwM9Uut36vuiUdhcWaU9BofIrbLK5XAoJCFCr0BB1j41Rj5hodY6O9Ls3ftcVQQMAAACA1xG/AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1xE0AAAAAHgdQQMAAACA1/0/8yxsfFDfmNQAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "best_classical_solution = np.array(\n",
    "    [pyo.value(pmedian_model.x[idx]) for idx in np.ndindex(d.shape)]\n",
    ").reshape(d.shape)\n",
    "\n",
    "plotting_sol(best_classical_solution, pyo.value(pmedian_model.cost), is_classic=True)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  },
  "vscode": {
   "interpreter": {
    "hash": "a07aacdcc8a415e7643a2bc993226848ff70704ebef014f87460de9126b773d0"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
